# Question: q assistance in understanding and solving this example from probability...

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Q: Assistance in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the steps of the solution to better understand, thanks.

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1) Suppose X and Y both take values in [0,1] with joint probability density f(x,y) = 4xy.

a) Find f_{x}(x) and f_{y}(y), the marginal
probability density functions.

b) Are the two random variables independent? Why or why not?

c) Compute the means and variances of X and Y.

d) Find P(X Y).