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Problem 15 Given that PDF of (x,y) is xy/4 on the interval 0<= x <= 1-y,...

Problem 15

Given that PDF of (x,y) is xy/4 on the interval 0<= x <= 1-y, 0<= y<=1,

1) Determine the probability (X <= 0.5, Y <= 0.5)

2) Determine the probability (X <= 0.25, Y <= 0.75)

3) Determine the marginal density and expectation of X

4) Repeat question 1 for Y

5) Determine expectation of XY and X/Y

Math   Statistics-And-Probability   
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