Question: 8. Let X be a random variable with the probability density function given by f (x) = B ex if x 0 0 elsewhere.

8. Let X be a random variable with the probability density function given by f (x) = B e−x if x ≥ 0 0 elsewhere. Let Y =    X if X ≤ 1 1/X if X > 1. Find the probability density function of Y .

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