Question: Define F(x) 0 if x 0 1exp(x) if x 0. (a) Show that F(x) is a CDF. (b) Find the PDF

Define F(x) Æ

½

0 if x Ç 0 1¡exp(¡x) if x ¸ 0.

(a) Show that F(x) is a CDF.

(b) Find the PDF f (x).

(c) Find E[X] .

(d) Find the PDF of Y Æ X1/2.

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