The random variables X and Y have joint density function
f(x. y)=12xy(1 - x) 0 <. x < 1. 0 < y < 1
and equal to 0 otherwise.
(a) Are X and Y independent?
(b) Find E[X].
(c) Find E[Y].
(d) Find Var(X).
(e) Find Var(Y).
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