A random variable X is defined by f X (x) = 4e -8|x| The random variable Y

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A random variable X is defined by 

fX(x) = 4e-8|x|


The random variable Y is related to X by Y = 4 + 5X.

(a) Determine E[X], E[X2], and σ2x.

(b) Determine fY(y).

(c) Determine E[Y], E[Y2], and σ2y. (The result of part (b) is not necessary to do this part, although it may be used.)

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