Let X and Y be random variables having joint density function C (2x + y) 0sxs1,0 s y s2 F(x,y) =]0 otherwise a. What is the value of C? b. What is the probability that X is greater than ½ and Y is less than 3/2? c. Determine the marginal density function of X and Y. d. Find E(X), E(Y), Var(X), Var(Y), o(x), , o(y) e. Are X and Y independent, show your solution f. Find the correlation between X and Y variable and interpret your findings, show your solution. g. Find the conditional density for X given Y=y, conditional density for Y given X=x

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