Let the joint density of the continuous random variables X1 and X2 be k(1 – X2) f(X1, X2 if 0 < x1 < x2 < 1 elsewhere (a) Find the value of k that makes this a probability density function. Answer:k = 6 (b) Compute P(X1 < , X2 > ) Answer: 32 (c) Find the marginal density functions for X1 and X2. Answer: fi(x1) = 3(1 – x 1)?,0 < x1 1, 2(x2) = 6x2(1 – x2),0 X2 < 1 (d) Compute P(X2 < }|X1 < 3) Answer:32