0 6. (21 points] The joint probability density function of Xand Yis given below: f(x,y) = {c(x + y)2 0

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0 6 21 Points The Joint Probability Density Function Of Xand Yis Given Below F X Y C X Y 2 0 X Y 1 0 W A Fi 1 (16.61 KiB) Viewed 56 times

0 6. (21 points] The joint probability density function of Xand Yis given below: f(x,y) = {c(x + y)2 0<x,y< 1 0.w. a. Find the value of the constant c so that fix,y) is a joint density function. b. Derive the marginal density function f«lx). C. Derive the marginal density function fly). d. Derive the conditional density function frixly 1 x) e. Calculate the conditional expectation ETV | X = 0.4). f. Are X and Y independent? Explain. 8. Calculate Mx and ox