Question: Let the random variables X and Y have the joint density f(x, y) = {cxy, 0, 0x3,0 y 3 elsewhere a) Find the value

Let the random variables X and Y have the joint density f(x,

Let the random variables X and Y have the joint density f(x, y) = {cxy, 0, 0x3,0 y 3 elsewhere a) Find the value of c that makes the above function f(x,y) a valid probability density function. b) Find the marginal probability distributions of the random variables X and Y. c) Find covariance and correlation between X and Y. Are X and Y independent?

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