The joint density of random variables X and Y is given to be f(x,y) =xy^2 for 0≤x≤y≤1 and is 0 el...

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Question

The joint density of random variables X and Y is given to be f(x,y) =xy^2 for 0≤x≤y≤1 and is 0 elsewhere.

(a) Compute the marginal densities for X and for Y respectively.

(b) Compute the expected valueE(XY).

(c) Define a new random variable W=Y/X. Compute the probability P(W > t) for anyt >1. Also find the probability P(W <1/2) ?

Answer 1

Answer #1

3 O 3

Answer 2

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