Question: 11. The distribution function of a random variable X is given by F (x) = 0 if x < 3 3/8 if

11. The distribution function of a random variable X is given by F (x) =    0 if x < −3 3/8 if −3 ≤ x < 0 1/2 if 0 ≤ x < 3 3/4 if 3 ≤ x < 4 1 if x ≥ 4. Calculate E(X), E ! X2 − 2|X| " , and E ! X|X| " .

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