Let the random variable X and Y have joint pdf f(x,y) = 12x(1 – x)y 0 < x < 1, and 0 < y < 1
a).Find the marginal densities of X and Y.
b) Determine the conditional pdf f1 (x|y).
c) Find E(X) and E(Y).
d) Find P(X≤0.5|Y=0.5).
e) Determine if X and Y are independent.