Question 1

Calculate the conditional distribution of X given Y.

Accepted Answer

The condit

Question 2

If X and Y are random variables,the sum of all the conditional probabilities of X given a specific value of Y will always be:

Accepted Answer

A) the average of the possible values of X. 
B) the average of the possible values of Y. 
C) 1. 
D) 0. 
A) the average of the possible values of X. 
B) the average of the possible values of Y. 
C) 1. 
D) 0.

Question 3

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 covariance between X and Y.

Accepted Answer

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

Question 4

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 of the four don't have air conditioning?

Accepted Answer

A) 0.121 
B) 0.145 
C) 0.178 
D) 0.212 
A) 0.121 
B) 0.145 
C) 0.178 
D) 0.212

Question 5

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
On average,there are 3.2 defects in a sheet of rolled steel.Assume that the number of defects follows a Poisson distribution.
-What is the probability of having exactly three defects in a roll?

Accepted Answer

A) 0.412 
B) 0.223 
C) 0.318 
D) 0.335 
A) 0.412 
B) 0.223 
C) 0.318 
D) 0.335

Question 6

A jug contains 5 black marbles and 5 white marbles well mixed.A marble is removed and its color noted.A second marble is removed,without replacing the first marble,and its color is also noted.If X is the total number of black marbles in the two draws,then X has a binomial distribution.

Accepted Answer

A) True 
 B)False

Question 7

The hypergeometric distribution is used for situations when sample observations are replaced in the population when sampling from a "small population."

Accepted Answer

A) True 
 B)False

Question 8

The covariance between two random variables is the correlation between the two variables divided by the product of their standard deviations.

Accepted Answer

A) True 
 B)False

Question 9

A shipment of six parrots from Brazil includes two parrots with a potentially fatal disease.As usual,the U.S.Customs Office at the shipment's point of entry randomly samples two parrots and tests them for disease.Let the random variable X be the number of healthy parrots in the sample.Find the probability distribution of X.

Accepted Answer

X has a hypergeometric distrib

Question 10

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
In a recent survey of 300 teenagers,62% of the teenagers indicated that they had been to a movie within the past month.75% of those teenagers who had seen a movie also had gone out to dinner in the past month,while only 64% of the teenagers who had not seen a movie had been out to dinner in the past month.Define the random variables as follows:
X = 1 if teenager had been to movie;X = 0 otherwise
Y = 1 if teenager had been out to dinner;Y = 0 otherwise
-Find and interpret the covariance between X and Y.

Accepted Answer

cov(X,Y)= @#IMG-DLM& = 0.465 - (0.62)(0.

Question 11

Computation of marginal probabilities,mean,and variances for jointly distributed random variables can be developed in:

Accepted Answer

A) very little time. 
B) the Poisson distribution. 
C) a plot. 
D) various computer packages. 
A) very little time. 
B) the Poisson distribution. 
C) a plot. 
D) various computer packages.

Question 12

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 standard deviation for Y.

Accepted Answer

@#IMG-DLM& 
 @#IMG-DLM& 
= @#IMG-DLM& .H

Question 13

The mean of a Poisson random variable X,where λ is the average number of times that an event occurs in a certain period of time or space,is:

Accepted Answer

A) λ 
B) λ2 
C)    
D) λ + 1 
A) λ 
B) λ2 
C)    
D) λ + 1

Question 14

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The joint probability distribution of variables X and Y is shown in the table below,where X is the number of tennis racquets and Y is the number of golf clubs sold daily in a small sports store.
  
-Calculate E(XY).

Accepted Answer

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

Question 15

Calculate the conditional probability P(Y = 2|X = 1).

Accepted Answer

P(Y = 2| X = 1)= P(X

Question 16

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 probability that he will make exactly six free throws?

Accepted Answer

A) 0.1468 
B) 0.3355 
C) 0.1678 
D) 0.2936 
A) 0.1468 
B) 0.3355 
C) 0.1678 
D) 0.2936

Question 17

On the average,2.4 customers per minute arrive at any one of the checkout counters of a grocery store.A hypergeometric distribution can be used to find out the probability that there will be no customers arriving at a checkout counter.

Accepted Answer

A) True 
 B)False

Question 18

In a recent survey,70% of human resource directors thought that it was very important for business students to take a course in business ethics.For a sample of 12 human resource directors,what is the probability that at least one of them does not think it very important for business students to take a business ethics course?

Accepted Answer

A) 0.9833 
B) 0.9521 
C) 0.9862 
D) 0.9714 
A) 0.9833 
B) 0.9521 
C) 0.9862 
D) 0.9714

Question 19

Determine the marginal probability distributions of X and Y.

Accepted Answer

The answer of Determine the marginal probability distributions of X...

Question 20

If X and Y are two variables with   
= 12.25,   
= 17.64,and Cov(X,Y)= 11.76,then the coefficient of correlation p = 0.8.

Accepted Answer

A) True 
 B)False

Calculate the conditional distribution of X given Y.

If X and Y are random variables,the sum of all the conditional probabilities of X given a specific value of Y will always be:

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 covariance between X and Y.

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 of the four don't have air conditioning?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: On average,there are 3.2 defects in a sheet of rolled steel.Assume that the number of defects follows a Poisson distribution. -What is the probability of having exactly three defects in a roll?

A jug contains 5 black marbles and 5 white marbles well mixed.A marble is removed and its color noted.A second marble is removed,without replacing the first marble,and its color is also noted.If X is the total number of black marbles in the two draws,then X has a binomial distribution.

The hypergeometric distribution is used for situations when sample observations are replaced in the population when sampling from a "small population."

The covariance between two random variables is the correlation between the two variables divided by the product of their standard deviations.

Computation of marginal probabilities,mean,and variances for jointly distributed random variables can be developed in:

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 standard deviation for Y.

The mean of a Poisson random variable X,where λ is the average number of times that an event occurs in a certain period of time or space,is:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The joint probability distribution of variables X and Y is shown in the table below,where X is the number of tennis racquets and Y is the number of golf clubs sold daily in a small sports store. -Calculate E(XY).

Calculate the conditional probability P(Y = 2|X = 1).

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 probability that he will make exactly six free throws?

On the average,2.4 customers per minute arrive at any one of the checkout counters of a grocery store.A hypergeometric distribution can be used to find out the probability that there will be no customers arriving at a checkout counter.

Determine the marginal probability distributions of X and Y.

If X and Y are two variables with = 12.25, = 17.64,and Cov(X,Y)= 11.76,then the coefficient of correlation p = 0.8.

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

Calculate the conditional distribution of X given Y.

If X and Y are random variables,the sum of all the conditional probabilities of X given a specific value of Y will always be:

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 covariance between X and Y.

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 of the four don't have air conditioning?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: On average,there are 3.2 defects in a sheet of rolled steel.Assume that the number of defects follows a Poisson distribution. -What is the probability of having exactly three defects in a roll?

A jug contains 5 black marbles and 5 white marbles well mixed.A marble is removed and its color noted.A second marble is removed,without replacing the first marble,and its color is also noted.If X is the total number of black marbles in the two draws,then X has a binomial distribution.

The hypergeometric distribution is used for situations when sample observations are replaced in the population when sampling from a "small population."

The covariance between two random variables is the correlation between the two variables divided by the product of their standard deviations.

Computation of marginal probabilities,mean,and variances for jointly distributed random variables can be developed in:

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 standard deviation for Y.

The mean of a Poisson random variable X,where λ is the average number of times that an event occurs in a certain period of time or space,is:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING: The joint probability distribution of variables X and Y is shown in the table below,where X is the number of tennis racquets and Y is the number of golf clubs sold daily in a small sports store. -Calculate E(XY).

Calculate the conditional probability P(Y = 2|X = 1).

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 probability that he will make exactly six free throws?

On the average,2.4 customers per minute arrive at any one of the checkout counters of a grocery store.A hypergeometric distribution can be used to find out the probability that there will be no customers arriving at a checkout counter.

Determine the marginal probability distributions of X and Y.

If X and Y are two variables with = 12.25, = 17.64,and Cov(X,Y)= 11.76,then the coefficient of correlation p = 0.8.

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