Question: Let X have density fx(x) = kx2 (l - x)2 for 0 x 1, and fx(x) = 0 otherwise, where k is constant.

Let X have density fx(x) = kx2 (l - x)2 for 0 ≤ x ≤ 1, and fx(x) = 0 otherwise, where k is constant.
a. Find the value of k.
b. Find P(X > 3/4).

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