23. The random variables X and Y have joint density function. $$f(x, y) = 12xy(1-x)$$ and equal...

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23. The random variables X and Y have joint density function.

$$f(x, y) = 12xy(1-x)$$

and equal to 0 otherwise.

(a) Are X and Y independent?

(b) Find E[X].

(e) Find E[Y].

(d) Find Var(X).

(e) Find Var(Y).

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