Question: Let f X (x) = A exp (-bx) u(x - 2) for all x where A and b are positive constants. (a) Find the relationship

Let fX(x) = A exp (-bx) u(x - 2) for all x where A and b are positive constants.

(a) Find the relationship between A and b such that this function is a pdf.

(b) Calculate E(X) for this random variable.

(c) Calculate E(X2) for this random variable.

(d) What is the variance of this random variable?

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