Question

16) X & Y have joint pdf f(x, y) = 3xy, 0 < x <1, x...

16) X & Y have joint pdf f(x, y) = 3xy, 0 < x <1, x < y < 2 − x Determine the marginal pdf of X on the interval (0, 1)

the answer is 6x – 6x^2

19) Suppose X & Y have a uniform (flat) pdf on the support of problem (16). Determine P(Y > 2X).

the answer is 2/3

I would like to know the answer of question 20 and question 21

20) Continuing problem (19), determine Var(Y | X = .75) a) 1/4 b) 1/12 c) 1/16 d) 1/24 e) 1/48

21) Continuing problem (19), determine Var(Y | X ≤ .75)

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