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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]?