Question 1

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
Consider the following probability distribution function.
  
-What is P(X < 6)?

Accepted Answer

1 - P(X =

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The number of accidents on a particular highway averages 4.4 per year.Assume that the number of accidents follows a Poisson distribution.
-What is the probability that there are more than three accidents next year?

Accepted Answer

A) 0.389 
B) 0.440 
C) 0.512 
D) 0.641 
A) 0.389 
B) 0.440 
C) 0.512 
D) 0.641

Question 3

What is the probability that no one is waiting or being served in the express checkout line?

Accepted Answer

P(Express

Question 4

In dealing with a pair of jointly distributed discrete random variables,the conditional probability distribution on one random variable,given specified values of another,is the:

Accepted Answer

A) collection of conditional probabilities. 
B) product of marginal distributions. 
C) square of the conditional probabilities. 
D) quotient of the conditional probabilities. 
A) collection of conditional probabilities. 
B) product of marginal distributions. 
C) square of the conditional probabilities. 
D) quotient of the conditional probabilities.

Question 5

The correlation coefficient r is a number that indicates the direction and the strength of the relationship between two random variables.

Accepted Answer

A) True 
 B)False

Question 6

One characteristic of the binomial distribution is that the outcome of one trial does not affect the outcome of any other trial.

Accepted Answer

A) True 
 B)False

Question 7

In basketball,one of the possible penalties after a foul is called a free throw.The fouled player gets one shot at the basket from the foul line.If he misses this shot,he is awarded no points and the penalty is over.If he makes the shot,then he gets one point and gets to take another shot.If he makes the second shot he gets an additional point,and the ball is turned over to the other team.If he misses the second shot,the penalty is over.Suppose that the probability of making a shot is 80%,and the likelihood of making one shot is independent of the outcome of any other shot.What is the probability distribution function for the points from the penalty? On average,how many points would you expect to get from the penalty?

Accepted Answer

@#IMG-DLM& μ_X = E(X)

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
A basketball player makes 80 percent of his free throws during the regular season.Consider his next eight free throws.
-What is the expected number of free throws that he will make?

Accepted Answer

A) 6.4 
B) 6.0 
C) 5.0 
D) 4.0 
A) 6.4 
B) 6.0 
C) 5.0 
D) 4.0

Question 9

The number of rainy days per month at Seattle follows a Poisson distribution with a mean value of 4.5 days.What is the probability that it will rain 3 days next month?

Accepted Answer

A) 0.3604 
B) 0.2222 
C) 0.1687 
D) 0.2521 
A) 0.3604 
B) 0.2222 
C) 0.1687 
D) 0.2521

Question 10

Consider the following probability distribution function.Compute the mean and standard deviation of X.

Accepted Answer

μ_X = @#IMG-DLM& @#IMG-DLM& =

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
In a shipment of 18 trucks to a local truck dealer,there are four trucks that don't have air conditioning.Assume that you select four trucks at random.
-What is the probability that two or fewer of the four don't have air conditioning?

Accepted Answer

A) 0.7727 
B) 0.9814 
C) 0.8169 
D) 0.9242 
A) 0.7727 
B) 0.9814 
C) 0.8169 
D) 0.9242

Question 12

The binomial probability distribution is always negatively skewed.

Accepted Answer

A) True 
 B)False

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The quality of computer disks is measured by sending the disks through a certifier which counts the number of missing pulses.A certain brand of computer disks averages 0.1 missing pulse per disk.Let the random variable X denote the number of missing pulses.
-Find the probability neither of the next two disks inspected will contain any missing pulse.

Accepted Answer

We can assume the disks are in

Question 14

A pair of jointly distributed random variables are said to be independent if and only if their joint probability distribution is the product of their:

Accepted Answer

A) conditional probabilities. 
B) marginal probability distributions. 
C) hypergeometric probabilities. 
D) Poisson distributions. 
A) conditional probabilities. 
B) marginal probability distributions. 
C) hypergeometric probabilities. 
D) Poisson distributions.

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency.
  
-Which of the following is true?

Accepted Answer

A) P(X > 4)= 0.46 
B) P(X ≤ 4)= 0.27 
C) P(X > 2)= 1.00 
D) P(X ≥ 6)= 0.10 
A) P(X > 4)= 0.46 
B) P(X ≤ 4)= 0.27 
C) P(X > 2)= 1.00 
D) P(X ≥ 6)= 0.10

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The following table displays the joint probability distribution of two discrete random variables X and Y.  
-Compute the expected value for Y.

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
Let X be a random variable with the following distribution:
  
-Find the expected value of X.

Accepted Answer

E(X)= μ_x =

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency.
  
-Let a = -μx/σx and b = 1/σx in the linear function Z = a + bX.Which of the following statements is true?

Accepted Answer

A) μz = μx 
B) μz = 0 
C) σz = a + bσx 
D) σz = σx 
A) μz = μx 
B) μz = 0 
C) σz = a + bσx 
D) σz = σx

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The number of accidents on a particular highway averages 4.4 per year.Assume that the number of accidents follows a Poisson distribution.
-A recent survey showed that 5 percent of the computer keyboards produced by a particular company are defective.What is the probability that out of eight keyboards selected at random,exactly zero keyboards will be defective?

Accepted Answer

A) 0.0054 
B) 0.2793 
C) 0.6634 
D) 0.6983 
A) 0.0054 
B) 0.2793 
C) 0.6634 
D) 0.6983

Question 20

The probability of various numbers of customers waiting for something to happen,or waiting line or queuing problems in general,are examples of the usefulness of the Poisson distribution.

Accepted Answer

A) True 
 B)False

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: Consider the following probability distribution function. -What is P(X < 6)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The number of accidents on a particular highway averages 4.4 per year.Assume that the number of accidents follows a Poisson distribution. -What is the probability that there are more than three accidents next year?

What is the probability that no one is waiting or being served in the express checkout line?

In dealing with a pair of jointly distributed discrete random variables,the conditional probability distribution on one random variable,given specified values of another,is the:

The correlation coefficient r is a number that indicates the direction and the strength of the relationship between two random variables.

One characteristic of the binomial distribution is that the outcome of one trial does not affect the outcome of any other trial.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: A basketball player makes 80 percent of his free throws during the regular season.Consider his next eight free throws. -What is the expected number of free throws that he will make?

The number of rainy days per month at Seattle follows a Poisson distribution with a mean value of 4.5 days.What is the probability that it will rain 3 days next month?

Consider the following probability distribution function.Compute the mean and standard deviation of X.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: In a shipment of 18 trucks to a local truck dealer,there are four trucks that don't have air conditioning.Assume that you select four trucks at random. -What is the probability that two or fewer of the four don't have air conditioning?

The binomial probability distribution is always negatively skewed.

A pair of jointly distributed random variables are said to be independent if and only if their joint probability distribution is the product of their:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency. -Which of the following is true?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table displays the joint probability distribution of two discrete random variables X and Y. -Compute the expected value for Y.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: Let X be a random variable with the following distribution: -Find the expected value of X.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency. -Let a = -μ_x/σ_x and b = 1/σ_x in the linear function Z = a + bX.Which of the following statements is true?

The probability of various numbers of customers waiting for something to happen,or waiting line or queuing problems in general,are examples of the usefulness of the Poisson distribution.

Describing Data: Graphical

Describing Data: Numerical

Probability

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 4: Discrete Random Variables and Probability Distributions

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: Consider the following probability distribution function. -What is P(X < 6)?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The number of accidents on a particular highway averages 4.4 per year.Assume that the number of accidents follows a Poisson distribution. -What is the probability that there are more than three accidents next year?

What is the probability that no one is waiting or being served in the express checkout line?

In dealing with a pair of jointly distributed discrete random variables,the conditional probability distribution on one random variable,given specified values of another,is the:

The correlation coefficient r is a number that indicates the direction and the strength of the relationship between two random variables.

One characteristic of the binomial distribution is that the outcome of one trial does not affect the outcome of any other trial.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: A basketball player makes 80 percent of his free throws during the regular season.Consider his next eight free throws. -What is the expected number of free throws that he will make?

The number of rainy days per month at Seattle follows a Poisson distribution with a mean value of 4.5 days.What is the probability that it will rain 3 days next month?

Consider the following probability distribution function.Compute the mean and standard deviation of X.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: In a shipment of 18 trucks to a local truck dealer,there are four trucks that don't have air conditioning.Assume that you select four trucks at random. -What is the probability that two or fewer of the four don't have air conditioning?

The binomial probability distribution is always negatively skewed.

A pair of jointly distributed random variables are said to be independent if and only if their joint probability distribution is the product of their:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency. -Which of the following is true?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table displays the joint probability distribution of two discrete random variables X and Y. -Compute the expected value for Y.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: Let X be a random variable with the following distribution: -Find the expected value of X.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency. -Let a = -μx/σx and b = 1/σx in the linear function Z = a + bX.Which of the following statements is true?

The probability of various numbers of customers waiting for something to happen,or waiting line or queuing problems in general,are examples of the usefulness of the Poisson distribution.

Describing Data: Graphical

Describing Data: Numerical

Probability

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency. -Let a = -μ_x/σ_x and b = 1/σ_x in the linear function Z = a + bX.Which of the following statements is true?