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Solved: Suppose that, as in Exercise 5.11, Y1 and Y2 are

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

Solution for problem 79E Chapter 5

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 79E

Suppose that, as in Exercise 5.11, Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram. Find E(Y1Y2).

Reference

Suppose that Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram.

a Find P(Y1 ≤ 3/4, Y2 ≤ 3/4).

b Find P(Y1 − Y2 ≥ 0).

Step-by-Step Solution:

Solution:

Step 1 of 2:

 To find for the given diagram.

         

From the above diagram, we know that the equation of line joining (-1,0) and (0,1) is y = x +1.

  And the equation of the line joining (0,1) and (1,0) is y = 1- x.

Then,

       


Step 2 of 2

Chapter 5, Problem 79E is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

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Solved: Suppose that, as in Exercise 5.11, Y1 and Y2 are