Chapter 15.4, Problem 28E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

(a) Verify that

(b) If *X* and *Y* are random variables whose joint density function is the function *f* in part (a), find

(i) *P* (*X*
*P(X*
*Y*

(c) Find the expected values of *X* and *Y.*

(a)

To determine

**To verify:** The given function is the joint density function.

Explanation

**Property used:**

If the given function

**Formula used:**

If

**Given:**

The joint density function,

The region *D* is

**Calculation:**

Obtain

(b) (i)

To determine

**To find:** The value of

(ii)

To determine

**To find:** The value of

(c)

To determine

**To find:** The expected value of *X* and *Y*.

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