Description
Basic Statistics for Business and Economics 6th Canadian Edition By Linda – Test Bank
Sample Questions
Instant Download With Answers
Chapter 02
Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation
Multiple Choice Questions
 (i) A frequency table is a grouping of qualitative data into mutually exclusive classes showing the number of observations in each class.
(ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A relative frequency table shows the fraction or percent of the number of observations in each class.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Topic: 0202 Constructing A Frequency Table
Topic: 0205 Bar Charts
 (i) A frequency table is a grouping of qualitative data into mutually exclusive classes showing the number of observations in each class.
(ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Topic: 0202 Constructing A Frequency Table
Topic: 0205 Bar Charts
 (i) Pie charts are useful for showing the percent that various components compose of the total.
(ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0205 Bar Charts
Topic: 0206 Pie Charts
 (i) Bar charts are useful for showing the percent that various components compose of the total.
(ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A bar chart is a graphic representation of a frequency table.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Topic: 0205 Bar Charts
 (i) Bar charts are useful for showing the percent that various components compose of the total.
(ii) Simple bar charts may be constructed either horizontally or vertically.
(iii) A frequency polygon is ideal for showing the trend or sales of income over time.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Learning Objective: 0204 Display a frequency distribution using a histogram or frequency polygon.
Topic: 0205 Bar Charts
Topic: 0213 Histogram
 Using the frequency table below, determine the relative frequencies for Apartment and Townhouse listings.
Type  Number Of Listings 
Apartment  58 
House  26 
Townhouse  14 
98 

5000 and.5000
B. 5000 and.2653
C. 2653 and.1429
D. 1429 and.2495
E. 5918 and.1429
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0210 Relative Frequency Distribution
 Quinn’s Café serves ice cream. She asks 100 of her regular customers to take a taste test and pick the flavour they like the best. The results are shown in the following table.
Flavour  Number 
Vanilla  40 
Green tea  25 
Lemon  20 
Coffee  15 
Total  100 
Is the data quantitative or qualitative? What is the name of the table shown?
A. quantitative, simple table
B. quantitative, frequency table
C. qualitative, frequency table
D. qualitative, cumulative frequency distribution
E. quantitative, bar chart
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0202 Constructing A Frequency Table
 When data is collected using a qualitative, nominal variable, i.e., male or female, what is true about a frequency distribution that summarizes the data?
A.Upper and lower class limits must be calculated.
B. Class midpoints can be computed.
C. Number of classes corresponds to number of the variable’s values.
D. The “2 to the k rule” can be applied.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0202 Constructing A Frequency Table
 A student was interested in the cigarette smoking habits of college students and collected data from an unbiased random sample of students. The data is summarized in the following table:
Male:50  Female:75 
Males who smoke: 20  Females who smoke: 25 
Males who do not smoke: 30  Females who do not smoke: 50 
Why is the table NOT a frequency table?
A. The number of males does not equal the sum of males that smoke and do not smoke.
B. The classes are not mutually exclusive.
C. There are too many classes.
D. Class limits cannot be computed
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0202 Constructing A Frequency Table
 A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with medium interest?
A.30%
B. 50%
C. 20%
D. Cannot be determined.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0203 Relative Class Frequencies
 Which of the following would be most helpful if you wished to construct a pie chart?
A.a frequency distribution
B. a relative frequency table
C. a cumulative frequency distribution
D. an ogive
E. a clustered bar chart
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0202 Display a frequency table using a bar or pie chart.
Topic: 0206 Pie Charts
 (i) A frequency distribution is grouping of data into classes showing the number of observations in each class.
(ii) The midpoint of a class, which is also called a class mark, is halfway between the lower and upper limits.
(iii) A class interval, which is the width of a class, can be determined by subtracting the lower limit of a class from the lower limit of the next higher class.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0204 Display a frequency distribution using a histogram or frequency polygon.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 (i) A frequency distribution is grouping of data into classes showing the number of observations in each class.
(ii) In constructing a frequency distribution, you should try to have openended classes such as “Under $100” and “$1,000 and over”.
(iii) A cumulative frequency distribution is used when we want to determine how many observations lie above or below certain values.
A.(i), (ii) and (iii) are all correct statements.
B. (i) and, (ii) are correct statements but not (iii).
C. (i) and, (iii) are correct statements but not (ii).
D. (ii) and, (iii) are correct statements but not (i).
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0204 Display a frequency distribution using a histogram or frequency polygon.
Learning Objective: 0205 Construct and interpret a cumulative frequency distribution.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
Topic: 0216 Cumulative Frequency Distribution
 Monthly commissions of firstyear insurance brokers are $1,270, $1,310, $1,680, $1,380, $1,410, $1,570, $1,180 and $1,420. These figures are referred to as:
A.histogram.
B. raw data.
C. frequency distribution.
D. frequency polygon.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0202 Constructing A Frequency Table
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 The monthly incomes of a small sample of computer operators are $1,950, $1,775, $2,060, $1,840, $1,795, $1,890, $1,925 and $1,810. What are these ungrouped numbers called?
A.Histogram
B. Class limits
C. Class frequencies
D. Raw data
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0202 Constructing A Frequency Table
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with high interest?
A.30%
B. 50%
C. 20%
D. Cannot be determined.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0203 Relative Class Frequencies
 When a class interval is expressed as: 100 to under 200
A.Observations with values of 100 are excluded from the class frequency.
B. Observations with values of 200 are included in the class frequency.
C. Observations with values of 200 are excluded from the class frequency.
D. The class interval is 99.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 What is the following table called?
Ages  Number of Ages 
20 to under 30  16 
30 to under 40  25 
40 to under 50  51 
50 to under 60  80 
60 to under 70  20 
70 to under 80  8 

Histogram
B. Frequency polygon
C. Cumulative frequency distribution
D. Frequency distribution
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0202 Constructing A Frequency Table
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with low interest?
A.30%
B. 50%
C. 20%
D. Cannot be determined.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0201 Summarize qualitative variables with frequency and relative frequency tables.
Topic: 0203 Relative Class Frequencies
 The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. They ranged from a low of $1,040 to a high of $1,720. If we want to condense the data into seven classes, what is the most convenient class interval?
A.$50
B. $100
C. $150
D. $200
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 For the following distribution of heights, what are the limits for the class with the greatest frequency?
Heights  60” to under 65”  65” to under 70”  70” to under 75” 
Number  10  70  20 

64 and 70
B. 65 and 69
C. 65 and 70
D. 69.5 and 74.5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 In a frequency distribution, what is the number of observations in a class called?
A.Class midpoint
B. Class interval
C. Class array
D. Class frequency
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 A sample distribution of hourly earnings in Paul’s Cookie Factory is:
Hourly Earnings  $6 to under $9  $9 to under $12  $12 to under $15 
Numbers  16  42  10 
The limits of the class with the smallest frequency are:
A. $6.00 and $9.00
B. $12.00 and $14.00
C. $11.75 and $14.25
D. $12.00 and $15.00
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Why are unequal class intervals sometimes used in a frequency distribution?
A.To avoid a large number of empty classes
B. For the sake of variety in presenting the data
C. To make the class frequencies smaller
D. To avoid the need for midpoints
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Consider the following relative frequency distribution:
Class Interval  Relative Frequency 
0 to under 10  0.2 
10 to under 20  0.3 
20 to under 30  0.45 
30 to under 40  0.05 
If there are 2,000 numbers in the data set, how many of the values are less than 30?
A. 900
B. 90
C. 1900
D. 100
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0210 Relative Frequency Distribution
 Refer to the following price of jeans are recorded to the nearest dollar:
The first two class midpoints are $62.50 and $65.50.
What is the class interval?
A.$1.00
B. $2.00
C. $2.50
D. $3.00
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Refer to the following price of jeans are recorded to the nearest dollar:
The first two class midpoints are $62.50 and $65.50.
What are the class limits for the lowest class?
A.$61 and up to $64
B. $62 and up to $64
C. $62 and $65
D. $62 and $63
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Refer to the following price of jeans are recorded to the nearest dollar:
The first two class midpoints are $62.50 and $65.50.
What are the class limits for the third class?
A.$64 and $67
B. $67 and $69
C. $67 and $70
D. $66 and $68
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Refer to the following ages (rounded to the nearest whole year) of employees at a large company that were grouped into a distribution with class limits:
20 up to 30
30 up to 40
40 up to 50
50 up to 60
60 up to 70What is the class interval and the midpoint of the first class?
A.20 and 25
B. 20 and 24.5
C. 10 and 25
D. 10 and 24.5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 What is the class midpoint for the $45 up to $55 class?
Cost of Textbooks  Number 
$25 up to $35  2 
35 up to 45  5 
45 up to 55  7 
55 up to 65  20 
65 up to 75  16 

49
B. 49.5
C. 50
D. 50.5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 What are the class limits for the $55 up to $65 class?
Cost of Textbooks  Number 
$25 up to $35  2 
35 up to 45  5 
45 up to 55  7 
55 up to 65  20 
65 up to 75  16 

55 and 64
B. 54 and 64
C. 55 and up to 65
D. 55 and 64.5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:
Salary ($1,000s)  Number of Graduates 
18under 21  – 
21under 25  – 
24under 27  – 
29under 30  – 
Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?
A. there are too many intervals
B. the class widths are too small
C. some numbers between 18,000 and 30,000 would fall into two different intervals
D. the first and the second interval overlap
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 The following class intervals for a frequency distribution were developed to provide information regarding the starting salaries for students graduating from a particular school:
Salary ($1,000s)  Number of Graduates 
18under 21  – 
21under 25  – 
24under 27  – 
29under 30  – 
Before data was collected, someone questioned the validity of this arrangement. Which of the following represents a problem with this set of intervals?
A. there are too many intervals
B. the class widths are too small
C. some numbers between 18,000 and 30,000 would not fall into any of these intervals
D. the first and the second intervals overlap
E. the second and third intervals overlap
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 The head of the statistics department wants to determine the number of mistake made by students in their first online assignment. She gathers information from her classes of the past year.
Errors Per Assignment  Number of Students 
0 to under 2  40 
2 to under 4  50 
4 to under 6  30 
6 to under 8  10 
8 to under 10  20 
The approximate range (distance from the minimum value in the raw data up to the maximum value) of the data is _________.
A. 150
B. 40
C. 10
D. 2
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0208 Constructing Frequency Distributions: Quantitative Data
 Refer to the following distribution of commissions:
Monthly commissions  Class Frequencies 
$600 to under $800  3 
800 to under 1,000  7 
1,000 to under 1,200  11 
1,200 to under 1,400  22 
1,400 to under 1,600  40 
1,600 to under 1,800  24 
1,800 to under 2,000  9 
2,000 to under 2,200  4 
What is the relative frequency for those salespersons that earn between $1,600 and $1,799?
A. 2%
B. 2.4%
C. 20%
D. 24%
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0203 Summarize quantitative variables with frequency and relative frequency distributions.
Topic: 0210 Relative Frequency Distribution
Chapter 04
A Survey of Probability Concepts
Multiple Choice Questions
 i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
 The closer a probability is to 0, the more likely that an event will happen.
iii. The closer the probability is to 1.00, the more likely an event will not happen.
 (i), (ii) and (iii) are all correct statements
 (i) is a correct statement but not (ii) or (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Topic: 0401 What is a Probability?
 i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
 The probability of 1 represents something that is certain to happen.
iii. The probability of 0 represents something that cannot happen.
 (i), (ii) and (iii) are all correct statements
 (i) is a correct statement but not (ii) or (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Topic: 0401 What is a Probability?
 i. A probability is usually expressed as a decimal, such as 0.70 or 0.27, but it may be given as a fraction, such as 7/10 or 27/100.
 The closer a probability is to 0, the more likely that an event will not happen.
iii. The closer the probability is to 1.00, the more likely an event will happen.
 (i), (ii) and (iii) are all correct statements
 (i) is a correct statement but not (ii) or (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Topic: 0401 What is a Probability?
 i. The probability of an event, based on a classical approach, is defined as the number of favourable outcomes divided by the total number of possible outcomes.
 If among several events only one can occur at a time, we refer to these events as being mutually exclusive events.
iii. The probability of rolling a 3 or 2 on a single die is an example of conditional probability.
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0402 Approaches to Assigning Probabilities
Topic: 0403 Classical Probability
Topic: 0407 Principles of Counting
Topic: 0420 General Rule of Multiplication
 i. A subjective probability can be assigned to an event by an individual based on the individual’s knowledge about the event.
 The probability that you would assign to the likelihood that the Hamilton Tiger Cats will be in the Grey Cup this season must be between 0 and 10.
iii. A probability is a number from 1 to +1 inclusive that measures one’s belief that an event resulting from an experiment will occur.
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Topic: 0401 What is a Probability?
Topic: 0405 Subjective Probability
 i. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be collectively exhaustive.
 If there are ‘m’ ways of doing one thing and ‘n’ ways of doing another thing, the multiplication formula states that there are (m)(n) ways of doing both.
iii. A permutation is an arrangement of a set of objects in which there is an order from the first through the last.
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0403 Classical Probability
Topic: 0408 The Multiplication Formula
Topic: 0409 The Permutation Formula
 An electronics firm manufactures three models of stereo receivers, two cassette decks, four speakers and three CD players. When the four types of components are sold together, they form a “system.” How many different systems can the electronic firm offer?
 36
 18
 72
 144
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 The numbers 0 through 9 are to be used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 2256, 2562 or 5559 would not be permitted. How many different code groups can be designed?
 5,040
 620
 10,200
 120
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 There are two letters C and D. If repetitions such as CC are permitted, how many permutations are possible?
 1
 0
 4
 8
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0409 The Permutation Formula
 You have the assignment of designing colour codes for different parts. Three colours are to be used on each part, but a combination of three colours used for one part cannot be rearranged and used to identify a different part. This means that if green, yellow and violet were used to identify a camshaft, yellow, violet and green (or any other combination of these three colours) could not be used to identify a pinion gear. If there are 35 combinations, how many colours were available?
 5
 7
 9
 11
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0410 The Combination Formula
 A builder has agreed not to erect all “lookalike” homes in a new subdivision. Five exterior designs are offered to potential homebuyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways are the exterior and interior plans offered to potential homebuyers?
 8
 10
 15
 30
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are permitted, how many different units can be decorated?
 7,825
 24
 125
 1,296
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are not permitted, how many different units can be decorated?
 360
 25
 125
 1,296
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 Consideration is being given to forming a Super Ten Basketball Conference. The top 10 university basketball teams in the country, based on past records, would be members of the Super Ten Conference. Each team would play every other team in the conference during the season and the team winning the most games would be declared the national champion. How many games would the conference commissioner have to schedule each year? (Remember, McMaster versus Alberta is the same as Alberta versus McMaster.)
 45
 50
 125
 14
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0410 The Combination Formula
 A rug manufacturer has decided to use 7 compatible colours in her rugs. However, in weaving a rug, only 5 spindles can be used. In advertising, the rug manufacturer wants to indicate the number of different colour groupings for sale. How many colour groupings using the seven colours taken five at a time are there? (This assumes that 5 different colours will go into each rug, i.e., there are no repetitions of colour.)
 120
 2,520
 6,740
 36
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0410 The Combination Formula
 i. An experiment is an activity that is either observed or measured.
 If an experiment, such as a dietossing experiment, has a set of events that includes every possible outcome, the set of events is called collectively exhaustive.
iii. The combination formula is: n!/(n – r)!
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0403 Classical Probability
Topic: 0410 The Combination Formula
 i. An illustration of an experiment is turning the ignition key of an automobile as it comes off the assembly line to determine whether or not the engine will start.
 If there are ‘m’ ways of doing one thing and ‘n’ ways of doing another thing, the multiplication formula states that there are (m)*(n) ways of doing both.
iii. A permutation is an arrangement of a set of objects in which there is an order from the first through the last.
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
Topic: 0409 The Permutation Formula
 A sales representative calls on four hospitals in York Region. It is immaterial what order he calls on them. How many ways can he organize his calls?
 4
 24
 120
 37
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0410 The Combination Formula
 i. The Cunard luxury liner, Queen Elizabeth 2, cannot be docked in Hong Kong and Bangkok at the same time. Events such as these that cannot occur simultaneously are said to be mutually exclusive.
 If there are ‘m’ ways of doing one thing and ‘n’ ways of doing another thing, the multiplication formula states that there are (m) • (n) ways of doing both.
iii. A permutation is an arrangement of a set of objects in which order does not matter.
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0403 Classical Probability
Topic: 0407 Principles of Counting
Topic: 0408 The Multiplication Formula
Topic: 0409 The Permutation Formula
 What does equal?
 640
 36
 10
 120
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0409 The Permutation Formula
 The result of a particular experiment is called a(n)
 observation.
 conditional probability.
 event.
 outcome.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Topic: 0402 Approaches to Assigning Probabilities
 When are two events mutually exclusive?
 They overlap on a Venn diagram
 If one event occurs, then the other cannot
 Probability of one affects the probability of the other
 They both happen at the same time
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile accident, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?
 24/883 or 0.027
 539/883 or 0.610
 24/333 or 0.072
 182/883 or 0.206
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Topic: 0404 Empirical Probability
 Which approach to probability is exemplified by the following formula?
Probability of Event Happening = Number of times event occurred in past
Total number of observations
 Classical approach
 Empirical approach
 Subjective approach
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Topic: 0404 Empirial Probability
 A study of 200 stamping firms revealed these incomes after taxes:
Income After Taxes Number of Firms
Under $1 million 102
$1 million to under $20 million 61
$20 million and more 37
What is the probability that a particular firm selected has $1 million or more in income after taxes?
 0.00
 0.25
 0.49
 0.51
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 According to which classification or type of probability are the events equally likely?
 Classical
 Empirical
 Subjective
 Mutually exclusive
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0401 Define the terms probability; experiment; event; and outcome.
Topic: 0402 Approaches to Assigning Probabilities
 The first card selected from a standard 52card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?
 1/4 or 0.25
 1/13 or 0.077
 12/13 or 0.923
 1/3 or 0.33
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Topic: 0403 Classical Probability
 A group of employees of Unique Services is to be surveyed with respect to a new pension plan. Indepth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
What is the probability that the first person selected is classified as a maintenance employee?
 0.20
 0.50
 0.025
 1.00
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0402 Assign probabilities using a classical; empirical or subjective approach.
Topic: 0404 Empirial Probability
 A lamp manufacturer has developed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?
 5
 10
 15
 20
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0403 Determine the number of outcomes using principles of counting.
Topic: 0408 The Multiplication Formula
 When two or more events can occur concurrently it is called
 conditional probability.
 empirical probability.
 joint probability.
 a tree diagram.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0416 The General Rule of Addition
 When an event’s probability depends on the likelihood of another event, the probability is
 conditional probability.
 empirical probability.
 joint probability.
 Mutually exclusive probability.
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0420 General Rule of Multiplication
 A board of directors consists of eight men and four women. A fourmember search committee is to be chosen at random to recommend a new company president. What is the probability that all four members of the search committee will be women?
 1/120 or 0.00083
 1/16 or 0.0625
 1/8 or 0.125
 1/495 or 0.002
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0419 Special Rule of Multiplication
 When an experiment is conducted “without replacement”,
 events are independent
 events are equally likely
 the experiment can be illustrated with a Venn Diagram
 the probability of two or more events is computed as a joint probability
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0418 Rules of Multiplication
 What does the complement rule state?
 P(A) = P(A) P(B)
 P(A) = 1 P (not A)
 P(A) = P(A) • P(B)
 P(A) = P(A)X + P(B)
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0415 Complement Rule
 i. The complement rule states that the probability of an event not occurring is equal to one minus the probability of its occurrence.
 If there are two independent events A and B, the probability that A and x B will occur is found by multiplying the two probabilities. Thus for two events A and B, the special rule of multiplication shown symbolically is: P(A and B) = P(A) P(B).
iii. The general rule of multiplication is used to find the joint probability that two events will occur. Symbolically, the joint probability P(A and B) is found by: P(A and B) = P(A)P(B/A).
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Hard
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0415 Complement Rule
Topic: 0419 Special Rule of Multiplication
Topic: 0420 General Rule of Multiplication
 Routine physical examinations are conducted annually as part of a health service program for the employees. It was discovered that 8% of the employees needed corrective shoes, 15% needed major dental work and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?
 0.20
 0.25
 0.50
 1.00
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0416 The General Rule of Addition
 There are 10 rolls of film in a box and 3 are defective. Two rolls are to be selected one after the other. What is the probability of selecting a defective roll followed by another defective roll?
 1/2 or 0.50
 1/4 or 0.25
 1/120, or about 0.0083
 1/15, or about 0.07
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0419 Special Rule of Multiplication
 Giorgio offers the person who purchases a 250 ml bottle of Allure two free gifts, either an umbrella, a 30 ml bottle of Midnight, a feminine shaving kit, a raincoat or a pair of rain boots. If you purchased Allure what is the probability you selected at random an umbrella and a shaving kit in that order?
 0.00
 1.00
 0.05
 0.20
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0418 Rules of Multiplication
 The machine has just been filled with 50 black, 150 white, 100 red and 100 yellow gum balls that have been thoroughly mixed. Sue and Jim approached the machine first. They both said they wanted red gum balls. What is the likelihood they will get their wish?
 0.50
 0.062
 0.33
 0.75
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0406 Compute probabilities using a contingency table.
Topic: 0418 Rules of Multiplication
 A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek and 40% read Macleans & World Report. Ten percent read both Time and Macleans. What is the probability that a particular top executive reads either Time or Macleans regularly?
 0.85
 0.06
 1.00
 0.65
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0416 The General Rule of Addition
 A study by Tourism Ontario revealed that 50% of the vacationers going to Toronto visit the CN Tower, 40% visit SkyDome and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?
 0.95
 0.35
 0.55
 0.05
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0416 The General Rule of Addition
 i. A coin is tossed four times. The probability is ¼ or 0.25 that all four tosses will result in a head face up.
 A coin is tossed four times. The probability is 1/8 or 0.125 that all four tosses will result in a head face up.
iii. If two events are mutually exclusive, then P(A or B) = P(A)P(B).
 (i), (ii) and (iii) are all correct statements
 (i) and, (ii) are correct statements but not (iii).
 (i) and, (iii) are correct statements but not (ii).
 (ii) and, (iii) are correct statements but not (i).
 (i), (ii) and (iii) are all false statements.
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0418 Rules of Multiplication
Topic: 0419 Special Rule of Multiplication
 A tire manufacturer advertises, “the median life of our new allseasonradial tire is 120,000 km. An immediate adjustment will be made on any tire that does not last 120,000 km.” You purchased four of these tires. What is the probability that all four tires will wear out before traveling 120,000 km?
 1/10 or 0.10
 ¼ or 0.25
 1/64 or 0.0156
 1/16 or 0.0625
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0418 Rules of Multiplication
 Three defective electric toothbrushes were accidentally shipped to a drugstore by the manufacturer along with 17 nondefective ones. What is the probability that the first two electric toothbrushes sold will be returned to the drugstore because they are defective?
 3/20 or 0.15
 3/17 or 0.176
 1/4 or 0.25
 3/190 or 0.01579
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0418 Rules of Multiplication
 If two events are independent, then their joint probability is
 computed with the special rule of addition
 computed with the special rule of multiplication
 computed with the general rule of multiplication
 computed with Bayes theorem
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0405 Calculate probabilities using the rules of multiplication.
Topic: 0419 Special Rule of Multiplication
 When applying the special rule of addition for mutually exclusive events, the joint probability is:
 1
 5
 0
 0.25
 unknown
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 A group of employees of Unique Services is to be surveyed with respect to a new pension plan. Indepth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
What is the probability that the first person selected is either in maintenance or in secretarial?
 0.200
 0.015
 0.059
 0.001
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 A group of employees of Unique Services is to be surveyed with respect to a new pension plan. Indepth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
What is the probability that the first person selected is in management and in supervision?
 0.00
 0.06
 0.15
 0.21
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 A group of employees of Unique Services is to be surveyed with respect to a new pension plan. Indepth interviews are to be conducted with each employee selected in the sample. The employees are classified as follows.
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
What is the probability that the first person selected is a supervisor and in production?
 0.00
 0.06
 0.15
 0.21
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0414 Special Rule of Addition
 Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table.
Sales Ability Fair Good Excellent
Below average 16 12 22
Average 45 60 45
Above average 93 72 135
What is the probability that a salesperson selected at random has above average sales ability and is an excellent potential for advancement?
 0.20
 0.50
 0.27
 0.75
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0421 Contingency Tables
 Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table.
Sales Ability Fair Good Excellent
Below average 16 12 22
Average 45 60 45
Above average 93 72 135
What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement?
 0.09
 0.12
 0.30
 0.525
Accessibility: Keyboard Navigation
Difficulty: Medium
Learning Objective: 0404 Calculate probabilities using the rules of addition.
Topic: 0421 Contingency Tables
 Each salesperson in a large department store chain is rated with respect to sales potential for advancement. These traits for the 500 salespeople were cross classified into the following table.
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