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13. Suppose Z N (0, 1) so that '(z) = fZ(z) = 1/(2)^(1/2)exp ((z)^2/2). Let Y = Z^2. (a) Find the CDF of Y .

13. Suppose Z N (0, 1) so that '(z) = fZ(z) = 1/(2)^(1/2)exp ((z)^2/2).

Let Y = Z^2.

(a) Find the CDF of Y .

(b) Find the PDF of Y .

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