Question 1

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  True

Question 2

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 D

Question 3

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 of non-authentic names in her sample,P(x<2)is ______________.

Accepted Answer

A)  0.3370 
B)  0.9853 
C)  0.9785 
D)  0.2333 
E)  0.5000 
A)  0.3370 
B)  0.9853 
C)  0.9785 
D)  0.2333 
E)  0.5000 A

Question 4

The number of finance majors within the School of Business is an example of _______.

Accepted Answer

A)  a discrete random variable 
B)  a continuous random variable 
C)  the Poisson distribution 
D)  the normal distribution 
E)  a constant 
A)  a discrete random variable 
B)  a continuous random variable 
C)  the Poisson distribution 
D)  the normal distribution 
E)  a constant

Question 5

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=1)is _______________.

Accepted Answer

A)  0.5250 
B)  0.4410 
C)  0.3000 
D)  0.6957 
E)  0.9957 
A)  0.5250 
B)  0.4410 
C)  0.3000 
D)  0.6957 
E)  0.9957

Question 6

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,15 invoices are sampled at random. The mean (average)value of the number of the 15 sampled invoices that receive discount is _______

Accepted Answer

A)  1 
B)  3 
C)  1.5 
D)  2 
E)  10 
A)  1 
B)  3 
C)  1.5 
D)  2 
E)  10

Question 7

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=0)is _______________.

Accepted Answer

A)  0.0083 
B)  0.3430 
C)  0.0000 
D)  0.2917 
E)  0.8917 
A)  0.0083 
B)  0.3430 
C)  0.0000 
D)  0.2917 
E)  0.8917

Question 8

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 9

A variable that can take on values at any point over a given interval is called a discrete random variable

Accepted Answer

A) True 
 B)False

Question 10

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 all three faculty selected are men is approximately _______

Accepted Answer

A)  0.05 
B)  0.33 
C)  0.11 
D)  0.80 
E)  0.90 
A)  0.05 
B)  0.33 
C)  0.11 
D)  0.80 
E)  0.90

Question 11

Assume that a random variable has a Poisson distribution with a mean of 5 occurrences per ten minutes.The number of occurrences per hour follows a Poisson distribution with λ equal to _________

Accepted Answer

A)  5 
B)  60 
C)  30 
D)  10 
E)  20 
A)  5 
B)  60 
C)  30 
D)  10 
E)  20

Question 12

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 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 of non-authentic names in her sample,P(x=0)is ______________.

Accepted Answer

A)  0.8154 
B)  0.0467 
C)  0.0778 
D)  0.4000 
E)  0.5000 
A)  0.8154 
B)  0.0467 
C)  0.0778 
D)  0.4000 
E)  0.5000

Question 14

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

Accepted Answer

A) True 
 B)False

Question 15

On Monday mornings,customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution,the probability that five cars will arrive during the next fifteen-minute interval is _____________.

Accepted Answer

A)  0.1008 
B)  0.0361 
C)  0.1339 
D)  0.1606 
E)  0.5000 
A)  0.1008 
B)  0.0361 
C)  0.1339 
D)  0.1606 
E)  0.5000

Question 16

In a certain communications system,there is an average of 1 transmission error per 10 seconds.Assume that the distribution of transmission errors is Poisson.The probability of 1 error in a period of one-half minute is approximately ________

Accepted Answer

A)  0.1493 
B)  0.3333 
C)  0.3678 
D)  0.1336 
E)  0.03 
A)  0.1493 
B)  0.3333 
C)  0.3678 
D)  0.1336 
E)  0.03

Question 17

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 3 cars arriving over a five-minute interval is _______.

Accepted Answer

A)  0.2700 
B)  0.0498 
C)  0.2240 
D)  0.0001 
E)  0.0020 
A)  0.2700 
B)  0.0498 
C)  0.2240 
D)  0.0001 
E)  0.0020

Question 18

One hundred policyholders file claims with CareFree Insurance. Ten of these claims are fraudulent. Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,x has a _______________.

Accepted Answer

A)  normal distribution 
B)  hypergeometric distribution, but may be approximated by a binomial 
C)  binomial distribution, but may be approximated by a normal 
D)  binomial distribution, but may be approximated by a Poisson 
E)  exponential distribution 
A)  normal distribution 
B)  hypergeometric distribution, but may be approximated by a binomial 
C)  binomial distribution, but may be approximated by a normal 
D)  binomial distribution, but may be approximated by a Poisson 
E)  exponential distribution

Question 19

Variables which take on values only at certain points over a given interval are called continuous random variables

Accepted Answer

A) True 
 B)False

Question 20

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

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

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 number of finance majors within the School of Business is an example of _______.

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=1)is _______________.

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,15 invoices are sampled at random. The mean (average)value of the number of the 15 sampled invoices that receive discount is _______

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=0)is _______________.

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

A variable that can take on values at any point over a given interval is called a discrete random variable

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 all three faculty selected are men is approximately _______

Assume that a random variable has a Poisson distribution with a mean of 5 occurrences per ten minutes.The number of occurrences per hour follows a Poisson distribution with λ equal to _________

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?

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

On Monday mornings,customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution,the probability that five cars will arrive during the next fifteen-minute interval is _____________.

In a certain communications system,there is an average of 1 transmission error per 10 seconds.Assume that the distribution of transmission errors is Poisson.The probability of 1 error in a period of one-half minute is approximately ________

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 3 cars arriving over a five-minute interval is _______.

One hundred policyholders file claims with CareFree Insurance. Ten of these claims are fraudulent. Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,x has a _______________.

Variables which take on values only at certain points over a given interval are called continuous random variables

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_______________.

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

A Nalysis 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

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Exam 5: Discrete Distributions

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

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 number of finance majors within the School of Business is an example of _______.

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=1)is _______________.

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,15 invoices are sampled at random. The mean (average)value of the number of the 15 sampled invoices that receive discount is _______

Ten policyholders file claims with CareFree Insurance. Three of these claims are fraudulent. Claims manager Earl Evans randomly selects three of the ten claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,P(x=0)is _______________.

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

A variable that can take on values at any point over a given interval is called a discrete random variable

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 all three faculty selected are men is approximately _______

Assume that a random variable has a Poisson distribution with a mean of 5 occurrences per ten minutes.The number of occurrences per hour follows a Poisson distribution with λ equal to _________

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?

Both the Poisson and the binomial distributions are discrete distributions and both have a given number of trials.

On Monday mornings,customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution,the probability that five cars will arrive during the next fifteen-minute interval is _____________.

In a certain communications system,there is an average of 1 transmission error per 10 seconds.Assume that the distribution of transmission errors is Poisson.The probability of 1 error in a period of one-half minute is approximately ________

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 3 cars arriving over a five-minute interval is _______.

One hundred policyholders file claims with CareFree Insurance. Ten of these claims are fraudulent. Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,x has a _______________.

Variables which take on values only at certain points over a given interval are called continuous random variables

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_______________.

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

A Nalysis 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