Suppose that X 1 , X 2 , X 3 , and X 4 are independent random

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Suppose that X1, X2, X3, and X4 are independent random variables, each with pdf fXi (xi) = 4x3i , 0 ≤ xi ≤ 1. Find

(a) P (X1 < 1/2).

(b) P (exactly one Xi < 1/2).

(c) fX1,X2,X3,X4 (x1, x2, x3, x4).

(d) FX2,X3 (x2, x3).

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