Suppose that X and Y are independent random variables

Chapter 5, Problem 4.60

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QUESTION:

Suppose that X and Y are independent random variables having the joint probability distribution x f(x,y) 24 1 0.10 0.15 y 3 0.20 0.30 5 0.10 0.15 Find (a) E(2X 3Y ); (b) E(XY).

Questions & Answers

QUESTION:

Suppose that X and Y are independent random variables having the joint probability distribution x f(x,y) 24 1 0.10 0.15 y 3 0.20 0.30 5 0.10 0.15 Find (a) E(2X 3Y ); (b) E(XY).

ANSWER:

Step 1 of 4

Given:

The joint probability distribution of the random variables X and Y is provided as,

f(x,y)

x=2

x=4

y=1

0.1

0.15

y=3

0.2

0.3

y=5

0.1

0.15

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