Question: (2pts) Letf (x)=13 ex if x <013 if 0 x <113 e(x1) if x 1(a) Show that f is a probability density function. (That is,

(2pts) Letf (x)=13 ex if x <013 if 0 x <113 e(x1) if x 1(a) Show that f is a probability density function. (That is, show that f (x)0, andR f (x)dx =1.)(b) If X has density function f , find E[X]

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