Problem 8. Use Problem 4 to prove that T(1/2) = /T by computing the explicit density of Z².
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Only solve question 8. Please show the full steps.

Transcribed Image Text:Problem 8. Use Problem 4 to prove that I'(1/2) = Vī by computing the explicit
density of Z2.

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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