Question: [2+2+2=6 points] Let X be a continuous random variable with expected value E(X) and the probability density function = if x 0 f(x) =

[2+2+2=6 points] Let X be a continuous random variable with expected value E(X) and the probability density function = if x 0 f(x) = a 0 otherwise. for constants a > 0 and c> 0. (a) Find a and c. (b) Compute the variance Var(X). (c) Let Y=x+1. Compute the standard deviation (X + Y).

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