4. Let Z be a standard normal random variable: i.e., Z ? N(0, 1).

| August 31, 2017

Question
4. Let Z be a standard normal random variable: i.e., Z ? N(0, 1).

(a) Using the cumulative distribution function method, find the pdf of U = Z^2.

(b) Using the result from previous part, show that pdf of U follows a special case of Gamma distribution.Write down the corresponding parameters for this distribution.

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