Question: Divide, at random, a horizontal line segment of length five. Let X: length of the left-hand part. Given: Cumulative Distribution Function of X. F(x) =

Divide, at random, a horizontal line segment of length five.

Let X: length of the left-hand part.

Given: Cumulative Distribution Function of X.

F(x) = { 0 if x 0, x/5 if 0 < x 5 , 1 if fx > 5.

Compute:

A. P.D.F. f(x)?

B. E[X]?

C. E[5 - X]?

D. DoesE[X(5-X)]=E[X]E[5-X]?

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