iid*1. Let Y1,..., Yn* uniform(0, 1). Find the distribution of their geometric mean:U =i=1(Hint: consider first finding the distribution of –n log U.)- N (µ, o2). Find the distribution of Y and show that P(Y s e") = 0.5 (i.e., e" is*2. Let log Ythe median of Y).

As per the guidelines, we can solve the first question only. Kindly repost the others for answers

Answered: *1. Let Y1,...,Yn * uniform(0, 1). Find…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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*1. Let Y1,...,Yn * uniform(0, 1). Find the distribution of their geometric mean: U = (11: II (Hint: consider first finding the distribution of -n log U.)

1. Let Y1,...,Yn uniform(0, 1). Find the distribution of their geometric mean: U = (11: II (Hint: consider first finding the distribution of -n log U.)