Question: 2. (35 points) Let fx(x) = le-1x, 1 > 0,x >0. (a) (15 points) Derive the density function for the new random variable Y =

2. (35 points) Let fx(x) = le-1x, 1 > 0,x >0. (a) (15 points) Derive the density function for the new random variable Y = -5X. (b) (10 points) Determine the E[Y]. (c) (10 points) Determine E[et]

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