. Let (y1, Y2: .-- Yn) be independent random sample from the uniform distribution on [0, 1]. (a) show that Z = - In Y; has exponential distribution with parameter 1. .... (b) Hence or otherwise, show that -2 In Y; - xn i=1

. Let (y1, Y2: .-- Yn) be independent random sample from the uniform distribution on [0, 1]. (a) show that Z = - In Y; has exponential distribution with parameter 1. .... (b) Hence or otherwise, show that -2 In Y; - xn i=1

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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11. Let (y1, Y2 ... Yn) be independent random sample from the uniform distribution on [0, 1].
(a) show that Z = – In Y; has exponential distribution with parameter 1.
(b) Hence or otherwise, show that -2 In Y; xản

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