*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.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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*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 Y
the median of Y).
Transcribed Image Text: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 Y the median of Y).
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