Answer to Question #336842 in Statistics and Probability for alvin

Question

Let X1, X2, X3 have joint probability distribution function

f(x1, x2, x3) = {

k(x

2

1 + x2x3), 0 ≤ x1 ≤ 1, 0 ≤ x2 ≤ 1, 0 ≤ x3 ≤ 1

0, elsewhere

Find

(i) the value of k.

(ii) the conditional expectation of X3 given X1 = x,X2 = y

Answer 1

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