Question: The time (in minutes) required to complete an assembly on a production line is a random variable X with the cumulative distribution function F (x)

The time (in minutes) required to complete an assembly on a production line is a random variable X with the cumulative distribution function F (x) = 1/125x³, 0 ≤ x ≤ 5.

(a) Find E(X ) and give an interpretation of this quantity.

(b) Compute Var (X ).

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