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6.80 Let Y₁, Y₂,..., Y, be independent random variables, each with a beta distribution, with a = B = 2. Find a the probability distribution function of Y(n) = max(Y₁, Y2, ..., Yn). b the density function of y(n). CE(Y(n)) when n = 2.

6.80 Let Y₁, Y₂,..., Y, be independent random variables, each with a beta distribution, with a = B = 2. Find a the probability distribution function of Y(n) = max(Y₁, Y2, ..., Yn). b the density function of y(n). CE(Y(n)) when n = 2.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.80 Let Y₁, Y2, ..., Y,, be independent random variables, each with a beta distribution, with a = B = 2. Find a the probability distribution function of Y(n) = max(Y₁, Y₂, ..., Y₁). b the density function of y(n). c E(Y()) when n = 2.
Transcribed Image Text:6.80 Let Y₁, Y2, ..., Y,, be independent random variables, each with a beta distribution, with a = B = 2. Find a the probability distribution function of Y(n) = max(Y₁, Y₂, ..., Y₁). b the density function of y(n). c E(Y()) when n = 2.
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Yi~ Beta(ɑ=2, β=2) ; i=1,2,..,n 

 

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