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Let Y be a random variable with p(y) given in the table

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 1E Chapter 4

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 1E

Problem 1E

Let Y be a random variable with p(y) given in the table below.

a Give the distribution function, F(y). Be sure to specify the value of F(y) for all y,−∞ < y < ∞.

b Sketch the distribution function given in part (a).

Step-by-Step Solution:
Step 1 of 3

Solution 1E

Step1 of 3:

We have random variable Y and it probability values are given below:

y

1

2

3

4

P(y)

0.4

0.3

0.2

0.1

Here our goal is:

a). We need to give the distribution function, F(y). here the value of F(y) for all y, −∞ < y < ∞.

b). We need to sketch the distribution function given in part (a).


Step2 of 3:

a).

The distribution function of F(y) is given by:

 

Now,


Step3 of 3:

b).

The graph of the given distribution function is given by:

Step 2 of 3

Chapter 4, Problem 1E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

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Let Y be a random variable with p(y) given in the table