Given a pdf of the form f X (x) = A exp(-x) u(x - 1), where u(x)

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Given a pdf of the form fX(x) = A exp(-αx) u(x - 1), where u(x) is the unit step and A and α are  positive constants, do the following:
(a) Give the relationship between A and α.

(b) Find the cdf.
(c) Find the probability that 2 < X ≤ 4.

(d) Find the mean of X.

(e) Find the mean square of X.
(f) Find the variance of X.

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