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Suppose that Z1, Z2, Z3, Z4, Z5 are independent standard normal random variables... Please give me a detailed explanation. Thank you. 1. Suppose that Z1,

Suppose that Z1, Z2, Z3, Z4, Z5 are independent standard normal random variables...

Please give me a detailed explanation. Thank you.

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1. Suppose that Z1, Z2, Z3, Z4, Z5 are independent standard normal random variables. Let U=Z+Z andV=Z+Z+Z. (a) Identify the distribution of 221 + 322 Z3 + 5. (b) Identify the distribution of U. (0) Identify the distribution of U -| V. ((1) Identify the distribution of 3U/2V. (e) Identify the distribution of Y = 21 / 1/V/ 3

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