Problem 8. Use Problem 4 to prove that T(1/2) = /T by computing the explicit density of Z².

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Only solve question 8. Please show the full steps.

Problem 8. Use Problem 4 to prove that I'(1/2) = Vī by computing the explicit
density of Z2.
Transcribed Image Text:Problem 8. Use Problem 4 to prove that I'(1/2) = Vī by computing the explicit density of Z2.
Problem 4. Show that if Z ~ N(0, 1) then Z2 is distributed as
gamma(1/2, 1/2).
Transcribed Image Text:Problem 4. Show that if Z ~ N(0, 1) then Z2 is distributed as gamma(1/2, 1/2).
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