Question 1

In a Poisson distribution the mean is equal to

Accepted Answer

A)  n$\pi$. 
B)    
C)  e- x. 
D)    
E)  zero. 
A)  n$\pi$. 
B)    
C)  e- x. 
D)    
E)  zero.

Question 2

In a binomial distribution where n = 900 and p= 1/3, determine the mean and standard deviation.

Accepted Answer

A)  2,700, 200 
B)  2,700, 14.14 
C)  300, 200 
D)  300, 14.14 
A)  2,700, 200 
B)  2,700, 14.14 
C)  300, 200 
D)  300, 14.14

Question 3

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 chili dogs order it with hot peppers. Suppose 18 customers are selected at random. What is the probability that exactly ten customers will ask for hot peppers?

Accepted Answer

A)  0.015 
B)  0.15 
C)  0.708 
D)  0.00 
A)  0.015 
B)  0.15 
C)  0.708 
D)  0.00

Question 4

i. The mean of a binomial distribution is the product of the probability of success and the number of repetitions of the experiment. ii. The binomial probability distribution is always negatively skewed.
iii. A binomial distribution has the characteristic that the probability of a success stays the same for each trial, but the probability of a failure varies from trial to trial.

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 5

(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 6

The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219.14 pounds. What is this an illustration of?

Accepted Answer

A)  Continuous random variable 
B)  Discrete random variable 
C)  Complement rule 
D)  Probability distribution 
A)  Continuous random variable 
B)  Discrete random variable 
C)  Complement rule 
D)  Probability distribution

Question 7

On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are to be selected at random for a special in-depth study on absenteeism. What is the probability of selecting 10 production employees at random on a hot summer day and finding that none of them are absent?

Accepted Answer

A)  0.002 
B)  0.344 
C)  0.599 
D)  0.100 
E)  0.630 
A)  0.002 
B)  0.344 
C)  0.599 
D)  0.100 
E)  0.630

Question 8

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 9

A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month.   What is the variance of the number of days absent?

Accepted Answer

A)  1.16 
B)  1.41 
C)  5.00 
D)  55.52 
A)  1.16 
B)  1.41 
C)  5.00 
D)  55.52

Question 10

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 11

(i. To construct a binomial distribution we need to know the total number of trials and the probability of a success. (ii) If n = 900 and $\pi$ = 1/3, the variance of this binomial distribution is 200.
(iii) If $\pi$ = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

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 12

What must you know to develop a binomial probability distribution?

Accepted Answer

A)  Probability of success 
B)  Number of trials 
C)  Number of successes 
D)  Probability of success and the number of trials 
E)  Probability of success and the number of successes 
A)  Probability of success 
B)  Number of trials 
C)  Number of successes 
D)  Probability of success and the number of trials 
E)  Probability of success and the number of successes

Question 13

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

Accepted Answer

A)  1,000 
B)  0.186 
C)  0.403 
D)  0.000 
A)  1,000 
B)  0.186 
C)  0.403 
D)  0.000

Question 14

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, approximately how many claims could they expect to be filed?

Accepted Answer

A)  200 
B)  20 
C)  2 
D)  0.2 
A)  200 
B)  20 
C)  2 
D)  0.2

Question 15

i. A random variable may be either discrete or continuous. ii. If Unique Buying Services has 100 employees, there might be 0, 1, 2, 3 up to 100 employees absent on Monday. In this case, the day of the week is the random variable.
iii. If we measure the weight of an eggnog carton, the variable is referred to as being a discrete random variable.

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 16

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 17

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?

Accepted Answer

A)  0.001 
B)  0.167 
C)  0.735 
D)  0.500 
A)  0.001 
B)  0.167 
C)  0.735 
D)  0.500

Question 18

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii) The Poisson distribution or, the law of improbable events, has positively skewed shape.
(iii) In a Poisson distribution each trail is independent.

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 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 sixteen or more customers will want hot peppers?

Accepted Answer

A)  0.0000 
B)  0.708 
C)  0.015 
D)  0.5 
E)  0.80 
A)  0.0000 
B)  0.708 
C)  0.015 
D)  0.5 
E)  0.80

Question 20

Affirmative action commitments by industrial organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. This is an example of what type of probability distribution?

Accepted Answer

A)  Continuous probability distribution 
B)  Poisson probability distribution 
C)  Binomial probability distribution 
D)  Hypergeometric probability distribution 
A)  Continuous probability distribution 
B)  Poisson probability distribution 
C)  Binomial probability distribution 
D)  Hypergeometric probability distribution

In a Poisson distribution the mean is equal to

In a binomial distribution where n = 900 and p= 1/3, determine the mean and standard deviation.

(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.

The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219.14 pounds. What is this an illustration of?

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 company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. What is the variance of the number of days absent?

(i. To construct a binomial distribution we need to know the total number of trials and the probability of a success. (ii) If n = 900 and $\pi$ = 1/3, the variance of this binomial distribution is 200. (iii) If $\pi$ = 1/5 and n = 100, the standard deviation of this binomial distribution is four.

What must you know to develop a binomial probability distribution?

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

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?

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii) The Poisson distribution or, the law of improbable events, has positively skewed shape. (iii) In a Poisson distribution each trail is independent.

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Continuous Probability Distributions

Sampling Methods and the Central Limit 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

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters

Exam 5: Discrete Probability Distributions

In a Poisson distribution the mean is equal to

In a binomial distribution where n = 900 and p= 1/3, determine the mean and standard deviation.

(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.

The weight of an offensive linesman may be 205.15 pounds, 210.23 pounds, 225.05 pounds or 219.14 pounds. What is this an illustration of?

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 company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. What is the variance of the number of days absent?

What must you know to develop a binomial probability distribution?

Sixty percent of the customers of a fast food chain order the Whopper, French fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

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?

Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. What is the probability that out of six keyboards selected at random, exactly zero keyboards will be defective?

(i. The binomial distribution and the Poisson distribution have two possible experimental outcomes. (ii) The Poisson distribution or, the law of improbable events, has positively skewed shape. (iii) In a Poisson distribution each trail is independent.

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Continuous Probability Distributions

Sampling Methods and the Central Limit 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

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters