Question 1

The probability of the outcome changes from trial to trial in a binomial experiment.

Accepted Answer

A) True 
 B)False

Question 2

The number of no-shows each day for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution:   Based on this information,the expected number of no-shows is 1.65 customers.

Accepted Answer

A) True 
 B)False

Question 3

Many people believe that they can tell the difference between Coke and Pepsi.Other people say that the two brands can't be distinguished.To test this,a random sample of 20 adults was selected to participate in a test.After being blindfolded,each person was given a small taste of either Coke or Pepsi and asked to indicate which brand soft drink it was.If people really can't tell the difference,the expected number of correct identifications in the sample would be:

Accepted Answer

A) 10. 
B) 0. 
C) between 4 and 9. 
D) Can't be determined without more information. 
A) 10. 
B) 0. 
C) between 4 and 9. 
D) Can't be determined without more information.

Question 4

If the number of defective items selected at random from a parts inventory is considered to follow a binomial distribution with n = 50 and p = 0.10,the standard deviation of the number of defective parts is:

Accepted Answer

A) 5. 
B) 4.5. 
C) 45. 
D) about 2.12. 
A) 5. 
B) 4.5. 
C) 45. 
D) about 2.12.

Question 5

The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped.According to the contract specifications,5 percent of the items shipped can be defective.If the inspectors find 1 or fewer defects in the sample of 10,they ship the batch without further inspection.If they find 2 or more,the entire batch is inspected.Based on this sampling plan,the probability that a batch that meets the contract requirements will end up being 100 percent inspected is approximately .0746.

Accepted Answer

A) True 
 B)False

Question 6

The manager of a fast food store realizes that his staffing problems are a result of the variation in the number of customers that arrive at the store.If the same number of customers came each hour,she would know exactly how many servers to have working.It turns out that the Poisson distribution works well to describe the arrivals of customers in any given hour.Explain why the manager has more trouble staffing the store during those hours when the average arrival rate is higher.

Accepted Answer

The Poisson distribution has a very spec

Question 7

Madam Helga claims to be psychic.A national TV talk personality plans to test her in a live TV broadcast.The process will entail asking Madam Helga a series of 20 independent questions with yes/no answers.The questions would be of the nature that she could not have any way of knowing the answer from prior knowledge.She will be considered psychic if she correctly answers more than a specified number (called the cut-off)of the questions.The cut-off must be set so that the chance of guessing that number or more is no greater than 5 percent.The cut-off value should be:

Accepted Answer

A) 12. 
B) 14. 
C) 10. 
D) Can't be determined without more information. 
A) 12. 
B) 14. 
C) 10. 
D) Can't be determined without more information.

Question 8

When dealing with the number of occurrences of an event over a specified interval of time or space,the appropriate probability distribution is hypergeometric.

Accepted Answer

A) True 
 B)False

Question 9

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that more than 3 customers arrive during a 10-minute period?

Accepted Answer

A) 0.1804 
B) 0.5665 
C) 0.4335 
D) 0.1954 
A) 0.1804 
B) 0.5665 
C) 0.4335 
D) 0.1954

Question 10

The following probability distribution has been assessed for the number of accidents that occur in a Midwestern city each day:   Based on this distribution,the expected number of accidents in a given day is:

Accepted Answer

A) 0.30. 
B) 1.65. 
C) 2.00. 
D) 2.50 
A) 0.30. 
B) 1.65. 
C) 2.00. 
D) 2.50

Question 11

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that 0 customers arrive during a 10-minute period?

Accepted Answer

A) 0.1353 
B) 0.0183 
C) 0.9817 
D) Essentially 0 
A) 0.1353 
B) 0.0183 
C) 0.9817 
D) Essentially 0

Question 12

The primary application for the hypergeometric probability distribution is in situations where the sampling is done without replacement from a finite population.

Accepted Answer

A) True 
 B)False

Question 13

Which of the following is true with respect to the binomial distribution?

Accepted Answer

A) As the sample size increases,the expected value of the random variable decreases. 
B) The binomial distribution becomes more skewed as the sample size is increased for a given probability of success. 
C) The binomial distribution tends to be more symmetric as p approaches 0.5. 
D) In order for the binomial distribution to be skewed,the sample size must be quite large. 
A) As the sample size increases,the expected value of the random variable decreases. 
B) The binomial distribution becomes more skewed as the sample size is increased for a given probability of success. 
C) The binomial distribution tends to be more symmetric as p approaches 0.5. 
D) In order for the binomial distribution to be skewed,the sample size must be quite large.

Question 14

The city council consists of 3 Democrats,5 Republicans and 3 independents.Subcommittees are supposed to be randomly assigned from the council.Suppose the 5-member planning and zoning subcommittee is composed of 3 Democrats and 2 Republicans.The probability of this happening by chance alone is approximately .4545.

Accepted Answer

A) True 
 B)False

Question 15

The Nationwide Motel Company has determined that 70 percent of all calls for motel reservations request nonsmoking rooms.Recently,the customer service manager for the company randomly selected 25 calls.Assuming that the distribution of calls requesting nonsmoking rooms is described by a binomial distribution,the probability that more than 20 customers in the sample will request nonsmoking rooms is approximately 0.09.

Accepted Answer

A) True 
 B)False

Question 16

The number of visible defects on a product container is thought to be Poisson distributed with a mean equal to 3.5.Based on this,how many defects should be expected if 3 containers are inspected?

Accepted Answer

A) 10.5 
B) Approximately 3.24 
C) Between 4 and 7 
D) 3.5 
A) 10.5 
B) Approximately 3.24 
C) Between 4 and 7 
D) 3.5

Question 17

The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution:   Based on this information,the most likely number of no-shows on any given day is 0 customers.

Accepted Answer

A) True 
 B)False

Question 18

A package delivery service claims that no more than 5 percent of all packages arrive at the address late.Assuming that the conditions for the binomial hold,if a sample of size 10 packages is randomly selected,and the 5 percent rate holds,what is the probability that exactly 2 packages in the sample arrive late?

Accepted Answer

A) 0.0746 
B) 0.9884 
C) 0.2347 
D) 0.0439 
A) 0.0746 
B) 0.9884 
C) 0.2347 
D) 0.0439

Question 19

The number of calls to an Internet service provider during the hour between 6:00 and 7:00 p.m.is described by a Poisson distribution with mean equal to 15.Given this information,the expected number of calls in the first 30 minutes is 7.5 calls.

Accepted Answer

A) True 
 B)False

Question 20

The probability function for random variable X is specified as:   The expected value of X is

Accepted Answer

A) 0.333. 
B) 0.500. 
C) 2.000. 
D) 2.333. 
A) 0.333. 
B) 0.500. 
C) 2.000. 
D) 2.333.

The probability of the outcome changes from trial to trial in a binomial experiment.

The number of no-shows each day for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution: Based on this information,the expected number of no-shows is 1.65 customers.

If the number of defective items selected at random from a parts inventory is considered to follow a binomial distribution with n = 50 and p = 0.10,the standard deviation of the number of defective parts is:

When dealing with the number of occurrences of an event over a specified interval of time or space,the appropriate probability distribution is hypergeometric.

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that more than 3 customers arrive during a 10-minute period?

The following probability distribution has been assessed for the number of accidents that occur in a Midwestern city each day: Based on this distribution,the expected number of accidents in a given day is:

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that 0 customers arrive during a 10-minute period?

The primary application for the hypergeometric probability distribution is in situations where the sampling is done without replacement from a finite population.

Which of the following is true with respect to the binomial distribution?

The number of visible defects on a product container is thought to be Poisson distributed with a mean equal to 3.5.Based on this,how many defects should be expected if 3 containers are inspected?

The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution: Based on this information,the most likely number of no-shows on any given day is 0 customers.

The number of calls to an Internet service provider during the hour between 6:00 and 7:00 p.m.is described by a Poisson distribution with mean equal to 15.Given this information,the expected number of calls in the first 30 minutes is 7.5 calls.

The probability function for random variable X is specified as: The expected value of X is

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

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Exam 5: Discrete Probability Distributions

The probability of the outcome changes from trial to trial in a binomial experiment.

The number of no-shows each day for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution: Based on this information,the expected number of no-shows is 1.65 customers.

If the number of defective items selected at random from a parts inventory is considered to follow a binomial distribution with n = 50 and p = 0.10,the standard deviation of the number of defective parts is:

When dealing with the number of occurrences of an event over a specified interval of time or space,the appropriate probability distribution is hypergeometric.

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that more than 3 customers arrive during a 10-minute period?

The following probability distribution has been assessed for the number of accidents that occur in a Midwestern city each day: Based on this distribution,the expected number of accidents in a given day is:

The manager of a movie theater has determined that the distribution of customers arriving at the concession stand is Poisson distributed with a standard deviation equal to 2 people per 10 minutes.What is the probability that 0 customers arrive during a 10-minute period?

The primary application for the hypergeometric probability distribution is in situations where the sampling is done without replacement from a finite population.

Which of the following is true with respect to the binomial distribution?

The number of visible defects on a product container is thought to be Poisson distributed with a mean equal to 3.5.Based on this,how many defects should be expected if 3 containers are inspected?

The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution: Based on this information,the most likely number of no-shows on any given day is 0 customers.

The number of calls to an Internet service provider during the hour between 6:00 and 7:00 p.m.is described by a Poisson distribution with mean equal to 15.Given this information,the expected number of calls in the first 30 minutes is 7.5 calls.

The probability function for random variable X is specified as: The expected value of X is

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

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