   Chapter 15, Problem 5RCC

Chapter
Section
Textbook Problem

Let f be a joint density function of a pair of continuous random variables X and Y.(a) Write a double integral for the probability that X lies between a and b and Y lies between c and d.(h) What properties does f possess?(c) What are the expected values of X and Y?

(a)

To determine

To write: The double integral for the probability that X lies between a and b andY lies between c and d.

Explanation

Given:

The joint density function of a pair of continuous random variables X and Y is denoted by f.

The probability that X lies between a and b and Y lies between c and d is given by,

P(axb,cy

(b)

To determine

To explain: The properties of f.

(c)

To determine

To explain: The expected values of X and Y.

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