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The probability distribution shown here describes a

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich ISBN: 9780321826237 51

Solution for problem 1E Chapter 5

Statistics for Business and Economics | 12th Edition

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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

Statistics for Business and Economics | 12th Edition

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Problem 1E

        Problem 1E

The probability distribution shown here describes a population of measurements that can assume values of 0, 2, 4, and 6, each of which occurs with the same relative frequency:

x

0

2

4

6

p(x)

¼

¼

¼

1/4

a. List all the different samples of n = 2 measurements that can be selected from this population.

b. Calculate the mean of each different sample listed in part a.

c. If a sample of n = 2 measurements is randomly selected from the population, what is the probability that a specific sample will be selected?

d. Assume that a random sample of n = 2 measurements is selected from the population. List the different values of found in part b and find the probability of each. Then give the sampling distribution of the sample mean in tabular form.

e. Construct a probability histogram for the sampling distribution of .

Step-by-Step Solution:

Answer:

Step 1 of 6:

Given the probability distribution describes a population of measurements that can assume values of 0, 2, 4 and 6 each of which occurs with the same relative frequency.

       

     x

  0

2

4

6

 

   p(x)

 

   


Step 2 of 5

Chapter 5, Problem 1E is Solved
Step 3 of 5

Textbook: Statistics for Business and Economics
Edition: 12
Author: James T. McClave, P. George Benson, Terry T Sincich
ISBN: 9780321826237

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The probability distribution shown here describes a