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Problem 4 The joint probability density function of the random variables X, Y is given as...

Problem 4 The joint probability density function of the random variables X, Y is given as

f(x,y)=8xy

if 0 ≤ y ≤ x ≤ 1, and 0 elsewhere.

Find the marginal probability density functions.

Problem 5 Find the expected values E (X) and E (Y) for the density function given in Problem 4.

Problem 7. Using information from problems 4 and 5, find Cov(X,Y).

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