Question 1

If x is a binomial random variable with n=10 and p=0.8,what is the probability that x is equal to 4?

Accepted Answer

A) .0055 
B) .0063 
C) .124 
D) .232 
E) .994 
A) .0055 
B) .0063 
C) .124 
D) .232 
E) .994

Question 2

The Poisson distribution is being used to approximate a binomial distribution.If n=30 and p=0.03,what value of lambda would be used?

Accepted Answer

A) 0.09 
B) 9.0 
C) 0.90 
D) 90 
E) 30 
A) 0.09 
B) 9.0 
C) 0.90 
D) 90 
E) 30

Question 3

During a recent sporting event,a quarter is tossed to determine which team picks the starting side.Suppose the referee says the coin will be tossed 3 times and the best two out of three wins If team A calls 'heads',what is the probability that exactly two heads are observed in three tosses?

Accepted Answer

A) .313 
B) .375 
C) .625 
D) .875 
E) .500 
A) .313 
B) .375 
C) .625 
D) .875 
E) .500

Question 4

A large industrial firm allows a discount on any invoice that is paid within 30 days.Of all invoices,10% receive the discount.In a company audit,10 invoices are sampled at random.The probability that fewer than 3 of the 10 sampled invoices receive the discount is approximately_______________.

Accepted Answer

A) 0.1937 
B) 0.057 
C) 0.001 
D) 0.3486 
E) 0.9298 
A) 0.1937 
B) 0.057 
C) 0.001 
D) 0.3486 
E) 0.9298

Question 5

Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.The probability that one male faculty and two female faculty are selected is approximately ______

Accepted Answer

A) 0.15 
B) 0.06 
C) 0.33 
D) 0.48 
E) 0.58 
A) 0.15 
B) 0.06 
C) 0.33 
D) 0.48 
E) 0.58

Question 6

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=0)is _______.

Accepted Answer

A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.8134 
A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.8134

Question 7

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

Accepted Answer

A) True 
 B)False

Question 8

The variance of a discrete distribution increases if we add a positive constant to each one of its value.

Accepted Answer

A) True 
 B)False

Question 9

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=2)is _______.

Accepted Answer

A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.0034 
A) 0.1315 
B) 0.8642 
C) 0.0042 
D) 0.6134 
E) 0.0034

Question 10

Which of the following conditions is not a condition for the hypergeometric distribution?

Accepted Answer

A) the probability of success is the same on each trial 
B) sampling is done without replacement 
C) there are only two possible outcomes 
D) trials are dependent 
E) n < 5%N 
A) the probability of success is the same on each trial 
B) sampling is done without replacement 
C) there are only two possible outcomes 
D) trials are dependent 
E) n < 5%N

Question 11

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are independent.

Accepted Answer

A) True 
 B)False

Question 12

In a binomial distribution,p,the probability of getting a successful outcome on any single trial,increases proportionately with every success.

Accepted Answer

A) True 
 B)False

Question 13

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic,and x is the number on non-authentic names in her sample,the expected (average)value of x is ______________.

Accepted Answer

A) 2.50 
B) 2.00 
C) 1.50 
D) 1.25 
E) 1.35 
A) 2.50 
B) 2.00 
C) 1.50 
D) 1.25 
E) 1.35

Question 14

The Poisson distribution is a continuous distribution which is very useful in solving waiting time problems

Accepted Answer

A) True 
 B)False

Question 15

The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals.The probability of 5 cars arriving over a five-minute interval is _______.

Accepted Answer

A) 0.0940 
B) 0.0417 
C) 0.1500 
D) 0.1008 
E) 0.2890 
A) 0.0940 
B) 0.0417 
C) 0.1500 
D) 0.1008 
E) 0.2890

Question 16

A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution,x represents the number of evenings the family dines outside their home during a week.   The standard deviation of x is _______________.

Accepted Answer

A) 1.00 
B) 2.00 
C) 0.80 
D) 0.89 
E) 1.09 
A) 1.00 
B) 2.00 
C) 0.80 
D) 0.89 
E) 1.09

Question 17

The hypergeometric distribution must be used instead of the binomial distribution when ______

Accepted Answer

A) sampling is done with replacement 
B) sampling is done without replacement 
C) n≥5% N 
D) both b and c 
E) there are more than two possible outcomes 
A) sampling is done with replacement 
B) sampling is done without replacement 
C) n≥5% N 
D) both b and c 
E) there are more than two possible outcomes

Question 18

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table.   Which of the following statements is true?

Accepted Answer

A) This distribution is skewed to the right. 
B) This is a binomial distribution. 
C) This distribution is symmetric. 
D) This distribution is skewed to the left. 
E) This is a Poisson distribution 
A) This distribution is skewed to the right. 
B) This is a binomial distribution. 
C) This distribution is symmetric. 
D) This distribution is skewed to the left. 
E) This is a Poisson distribution

Question 19

The number of visitors to a website each day is an example of a discrete random variable

Accepted Answer

A) True 
 B)False

Question 20

In American Roulette,there are two zeroes and 36 non-zero numbers (18 red and 18 black).If a player bets 1 unit on red,his chance of winning 1 unit is therefore 18/38 and his chance of losing 1 unit (or winning -1)is 20/38.Let x be the player profit per game.The mean (average)value of x is approximately_______________.

Accepted Answer

A) 0.0526 
B) -0.0526 
C) 1 
D) -1 
E) 0 
A) 0.0526 
B) -0.0526 
C) 1 
D) -1 
E) 0

If x is a binomial random variable with n=10 and p=0.8,what is the probability that x is equal to 4?

The Poisson distribution is being used to approximate a binomial distribution.If n=30 and p=0.03,what value of lambda would be used?

During a recent sporting event,a quarter is tossed to determine which team picks the starting side.Suppose the referee says the coin will be tossed 3 times and the best two out of three wins If team A calls 'heads',what is the probability that exactly two heads are observed in three tosses?

A large industrial firm allows a discount on any invoice that is paid within 30 days.Of all invoices,10% receive the discount.In a company audit,10 invoices are sampled at random.The probability that fewer than 3 of the 10 sampled invoices receive the discount is approximately_______________.

Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.The probability that one male faculty and two female faculty are selected is approximately ______

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=0)is _______.

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The variance of a discrete distribution increases if we add a positive constant to each one of its value.

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=2)is _______.

Which of the following conditions is not a condition for the hypergeometric distribution?

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are independent.

In a binomial distribution,p,the probability of getting a successful outcome on any single trial,increases proportionately with every success.

The Poisson distribution is a continuous distribution which is very useful in solving waiting time problems

The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals.The probability of 5 cars arriving over a five-minute interval is _______.

A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution,x represents the number of evenings the family dines outside their home during a week. The standard deviation of x is _______________.

The hypergeometric distribution must be used instead of the binomial distribution when ______

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table. Which of the following statements is true?

The number of visitors to a website each day is an example of a discrete random variable

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 5: Discrete Distributions

If x is a binomial random variable with n=10 and p=0.8,what is the probability that x is equal to 4?

The Poisson distribution is being used to approximate a binomial distribution.If n=30 and p=0.03,what value of lambda would be used?

During a recent sporting event,a quarter is tossed to determine which team picks the starting side.Suppose the referee says the coin will be tossed 3 times and the best two out of three wins If team A calls 'heads',what is the probability that exactly two heads are observed in three tosses?

A large industrial firm allows a discount on any invoice that is paid within 30 days.Of all invoices,10% receive the discount.In a company audit,10 invoices are sampled at random.The probability that fewer than 3 of the 10 sampled invoices receive the discount is approximately_______________.

Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.The probability that one male faculty and two female faculty are selected is approximately ______

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=0)is _______.

The Poisson distribution is best suited to describe occurrences of rare events in a situation where each occurrence is independent of the other occurrences.

The variance of a discrete distribution increases if we add a positive constant to each one of its value.

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=2)is _______.

Which of the following conditions is not a condition for the hypergeometric distribution?

In a binomial experiment,any single trial contains only two possible outcomes and successive trials are independent.

In a binomial distribution,p,the probability of getting a successful outcome on any single trial,increases proportionately with every success.

The Poisson distribution is a continuous distribution which is very useful in solving waiting time problems

The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a mean of 3 cars arriving in five-minute time intervals.The probability of 5 cars arriving over a five-minute interval is _______.

A market research team compiled the following discrete probability distribution for families residing in Randolph County.In this distribution,x represents the number of evenings the family dines outside their home during a week. The standard deviation of x is _______________.

The hypergeometric distribution must be used instead of the binomial distribution when ______

You are offered an investment opportunity.Its outcomes and probabilities are presented in the following table. Which of the following statements is true?

The number of visitors to a website each day is an example of a discrete random variable

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters