Let f(x, y) = 3/2, x2 y 1, 0 x 1, be the joint pdf of X and Y. (a) Find P(0 X 1/2). (b)

Chapter 4, Problem 4.4-4

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QUESTION:

Let f(x, y) = 3/2, x2 y 1, 0 x 1, be the joint pdf of X and Y. (a) Find P(0 X 1/2). (b) Find P(1/2 Y 1). (c) Find P(X 1/2, Y 1/2). (d) Are X and Y independent? Why or why not?

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QUESTION:

Let f(x, y) = 3/2, x2 y 1, 0 x 1, be the joint pdf of X and Y. (a) Find P(0 X 1/2). (b) Find P(1/2 Y 1). (c) Find P(X 1/2, Y 1/2). (d) Are X and Y independent? Why or why not?

ANSWER:

Step 1 of 6

Given:

The joint probability density function of X and Y are,

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