Question 1

Which of the following is NOT a characteristic of a binomial probability distribution?

Accepted Answer

A)  Each outcome is mutually exclusive. 
B)  Each trial is independent. 
C)  Probability of success remains constant from trial to trial. 
D)  Each outcome results from two trials. 
A)  Each outcome is mutually exclusive. 
B)  Each trial is independent. 
C)  Probability of success remains constant from trial to trial. 
D)  Each outcome results from two trials. D

Question 2

Carlson Jewellers permits the return of their diamond wedding rings, provided the return occurs
Within two weeks of the purchase date. Their records reveal that 10 percent of the diamond
Wedding rings are returned. Five different customers buy ﬁve rings. What is the probability that
None will be returned?

Accepted Answer

A)  0.250 
B)  0.073 
C)  0.590 
D)  0.500 
E)  0.372 
A)  0.250 
B)  0.073 
C)  0.590 
D)  0.500 
E)  0.372 C

Question 3

Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that
The probability that a motorist will have an accident during the weekend and ﬁle a claim is 0.00555.
Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two
Claims will be ﬁled?

Accepted Answer

A)  0.8187 
B)  0.2500 
C)  0.01640.2676 
D)  0.0001 
A)  0.8187 
B)  0.2500 
C)  0.01640.2676 
D)  0.0001 C

Question 4

David's gasoline station offers 4 cents off per litre if the customer pays in cash and does not use a
Credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period
Twenty-ﬁve customers buy gasoline at this station.
What is the probability that at least ten pay in cash?

Accepted Answer

A)  0.416 
B)  0.575 
C)  0.586 
D)  0.425 
A)  0.416 
B)  0.575 
C)  0.586 
D)  0.425

Question 5

(i. A continuous random variable can assume one of an inﬁnite number of values within a speciﬁc
Range.
(ii. The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must
Equal one.
(iii) In a binomial experiment, the probability of a failure equals (1 - probability of success).

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 6

(i. A probability distribution relates the expected outcomes of an experiment to the probability of
Each one occurring.
(ii. The probability of all events in a probability distribution must sum to one.
(iii) A ﬁnite population consists of a ﬁxed number of individuals, objects, or measurements.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (ii) are correct statements but not (iii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (ii) are correct statements but not (iii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 7

A company is studying the number of daily debit card purchases. There were 20 purchases and the
Probability of a debit card purchase is 0.5. Of the 20 purchases, what is the expected value of the
Number of debit card purchases?

Accepted Answer

A)  4 
B)  6 
C)  8 
D)  10 
E)  12 
A)  4 
B)  6 
C)  8 
D)  10 
E)  12

Question 8

A true-false test consists of ﬁve questions. If you guess the answer to each question, what is the
Probability of getting all ﬁve questions correct?

Accepted Answer

A)  0% 
B)  3.1% 
C)  6.2% 
D)  100% 
A)  0% 
B)  3.1% 
C)  6.2% 
D)  100%

Question 9

The marketing department of a nationally known cereal maker plans to conduct a national survey to
ﬁnd out whether or not consumers of ﬂake cereals can distinguish one of their favorite ﬂake cereals.
To test the questionnaire and procedure to be used, eight persons were asked to cooperate in an
Experiment. Five very small bowls of ﬂake cereals were placed in front of a person. The bowls were
Labeled A, B, C, D, and

Accepted Answer

A)  0.168 
B)  0.009 
C)  0.788 
D)  0.125 
E)  The person was informed that only one bowl contained his or her favorite ﬂake cereal. Suppose that the eight persons in the experiment were unable to identify their favorite
Cereal and just guessed which bowl it was in. What is the probability that none of the eight guessed
Correctly? 
A)  0.168 
B)  0.009 
C)  0.788 
D)  0.125 
E)  The person was informed that only one bowl contained his or her favorite ﬂake cereal. Suppose that the eight persons in the experiment were unable to identify their favorite
Cereal and just guessed which bowl it was in. What is the probability that none of the eight guessed
Correctly?

Question 10

A hybrid-grower is experiencing trouble with corn borers. A random check of 5,000 ears revealed
The following: many of the ears contained no borers. Some ears had one borer; a few had two
Borers; and so on. The distribution of the number of borers per ear approximated the Poisson
Distribution. The grower counted 3,500 borers in the 5,000 ears. What is the probability that an ear
Of corn selected at random will contain no borers?

Accepted Answer

A)  0.3476 
B)  0.4966 
C)  1.000 
D)  0.0631 
A)  0.3476 
B)  0.4966 
C)  1.000 
D)  0.0631

Question 11

i. As a general rule of thumb, if the items selected for a sample are not replaced and the sample
Size is less than 5 percent of the population, the binomial distribution can be used to approximate
The hypergeometric distribution.
ii. If the probability of success does not remain the same from trial to trial when sampling is done
Without replacement, the hypergeometric distribution should be applied.
iii. In the hypergeometric distribution the probability of a success is not the same on each trail.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 12

What is the following table called?

Accepted Answer

A)  Probability distribution 
B)  Ogive 
C)  Standard deviation 
D)  Frequency table 
A)  Probability distribution 
B)  Ogive 
C)  Standard deviation 
D)  Frequency table

Question 13

A statistic professor ﬁnds she averages ﬁve e-mail messages per day from students. Assume the
Number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have ﬁve messages?

Accepted Answer

A)  0.0067 
B)  0.875 
C)  0.175 
D)  1.0 
A)  0.0067 
B)  0.875 
C)  0.175 
D)  1.0

Question 14

A true-false test consists of six questions. If you guess the answer to each question, what is the
Probability of getting all six questions correct?

Accepted Answer

A)  0 
B)  0.016 
C)  0.062 
D)  0.250 
A)  0 
B)  0.016 
C)  0.062 
D)  0.250

Question 15

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates
Go to college. From 20 graduates selected at random, approximately how many will go to college?

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
E)  7 
A)  3 
B)  4 
C)  5 
D)  6 
E)  7

Question 16

(i. A continuous random variable can assume only a certain number of separated values.
(ii. The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must
Equal one.
(iii) In a binomial experiment, the probability of a failure equals the probability of success.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (ii) are correct statements but not (iii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements. 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (ii) are correct statements but not (iii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 17

If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?

Accepted Answer

A)  0.6 
B)  1.9 
C)  6.0 
D)  12.96 
A)  0.6 
B)  1.9 
C)  6.0 
D)  12.96

Question 18

What is the only variable in the Poisson probability formula?

Accepted Answer

A)  π 
B)  x 
C)  e 
D)  P 
A)  π 
B)  x 
C)  e 
D)  P

Question 19

Elly's hot dog emporium is famous for its chilidogs. Some customers order the hot dogs with hot
Peppers, while many do not care for that added bit of zest. Elly's latest sales indicate that 30% of the
Customers ordering her chilidogs order it with hot peppers. Suppose 18 customers are selected at
Random. What is the probability that exactly nine customers will ask for hot peppers?

Accepted Answer

A)  0.0000 
B)  0.708 
C)  0.015 
D)  0.5 
E)  0.039 
A)  0.0000 
B)  0.708 
C)  0.015 
D)  0.5 
E)  0.039

Question 20

Let X represent the number of children in a Canadian household. The probability distribution of X is
As follows:  
The probability that a randomly selected Canadian household will have more than 3 children is 0.16.
The expected number of children in a randomly selected Canadian household is 2.25.

Accepted Answer

A)  0.7311, 2 
B)  0.3711, 3.2 
C)  0.16, 2.25 
D)  0.16, 3.2 
A)  0.7311, 2 
B)  0.3711, 3.2 
C)  0.16, 2.25 
D)  0.16, 3.2

Which of the following is NOT a characteristic of a binomial probability distribution?

(i. A probability distribution relates the expected outcomes of an experiment to the probability of Each one occurring. (ii. The probability of all events in a probability distribution must sum to one. (iii) A ﬁnite population consists of a ﬁxed number of individuals, objects, or measurements.

A company is studying the number of daily debit card purchases. There were 20 purchases and the Probability of a debit card purchase is 0.5. Of the 20 purchases, what is the expected value of the Number of debit card purchases?

A true-false test consists of ﬁve questions. If you guess the answer to each question, what is the Probability of getting all ﬁve questions correct?

What is the following table called?

A statistic professor ﬁnds she averages ﬁve e-mail messages per day from students. Assume the Number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have ﬁve messages?

A true-false test consists of six questions. If you guess the answer to each question, what is the Probability of getting all six questions correct?

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 20 graduates selected at random, approximately how many will go to college?

(i. A continuous random variable can assume only a certain number of separated values. (ii. The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must Equal one. (iii) In a binomial experiment, the probability of a failure equals the probability of success.

If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?

What is the only variable in the Poisson probability formula?

Let X represent the number of children in a Canadian household. The probability distribution of X is As follows: The probability that a randomly selected Canadian household will have more than 3 children is 0.16. The expected number of children in a randomly selected Canadian household is 2.25.

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 5: A Sulvey of Probability Concepts

Which of the following is NOT a characteristic of a binomial probability distribution?

(i. A probability distribution relates the expected outcomes of an experiment to the probability of Each one occurring. (ii. The probability of all events in a probability distribution must sum to one. (iii) A ﬁnite population consists of a ﬁxed number of individuals, objects, or measurements.

A company is studying the number of daily debit card purchases. There were 20 purchases and the Probability of a debit card purchase is 0.5. Of the 20 purchases, what is the expected value of the Number of debit card purchases?

A true-false test consists of ﬁve questions. If you guess the answer to each question, what is the Probability of getting all ﬁve questions correct?

What is the following table called?

A statistic professor ﬁnds she averages ﬁve e-mail messages per day from students. Assume the Number of messages approximates a Poisson distribution. What is the probability that on a randomly selected day she will have ﬁve messages?

A true-false test consists of six questions. If you guess the answer to each question, what is the Probability of getting all six questions correct?

In a large metropolitan area, past records revealed that 30 percent of all the high school graduates Go to college. From 20 graduates selected at random, approximately how many will go to college?

(i. A continuous random variable can assume only a certain number of separated values. (ii. The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must Equal one. (iii) In a binomial experiment, the probability of a failure equals the probability of success.

If the variance of a probability was computed to be 3.6 grams, what is the standard deviation?

What is the only variable in the Poisson probability formula?

Let X represent the number of children in a Canadian household. The probability distribution of X is As follows: The probability that a randomly selected Canadian household will have more than 3 children is 0.16. The expected number of children in a randomly selected Canadian household is 2.25.

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters