Question: If X has distribution function F(t) = 0, t < 2, (t 2)4, 2 t < 6, 1, t 6, then

If X has distribution function F(t) =

⎧⎪⎨⎪⎩

0, t < 2,

(t − 2)∕4, 2 ≤ t < 6, 1, t ≥ 6, then E(X) = 5.

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