Question: 5. Let X be a continuous random variable with the probability density function f (x) = 6x(1 x), if 0 x 1,

5. Let X be a continuous random variable with the probability density function f (x) = 6x(1 − x), if 0 ≤ x ≤ 1, zero elsewhere.

(a) Find MX(t).

(b) Using MX(t), find E(X).

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