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Let X₁, X₂,..., X₁, be independent, uniformly distributed random variables on the interval [0, b). a) Find the probability distribution function of X(n) = max(X₁, X₂, ..., Xn). Fx (t)= for 0 ≤t≤ b and zero elsewhere I b) Find the probability density function of X(n). fx (t) = c) Find the expected value of X(n) E(X(n)) = for 0 ≤t≤ b and zero elsewhere

Let X₁, X₂,..., X₁, be independent, uniformly distributed random variables on the interval [0, b). a) Find the probability distribution function of X(n) = max(X₁, X₂, ..., Xn). Fx (t)= for 0 ≤t≤ b and zero elsewhere I b) Find the probability density function of X(n). fx (t) = c) Find the expected value of X(n) E(X(n)) = for 0 ≤t≤ b and zero elsewhere

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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Let X₁, X₂,..., X, be independent, uniformly distributed random variables on the interval [0, b]. a) Find the probability distribution function of X(n) = max(X₁, X₂,..., Xn). Fx (t) = for 0 ≤t≤ b and zero elsewhere I b) Find the probability density function of X(n)- fx (t) = c) Find the expected value of X(n) E(X(n)) = for 0 ≤t≤ b and zero elsewhere
Transcribed Image Text:Let X₁, X₂,..., X, be independent, uniformly distributed random variables on the interval [0, b]. a) Find the probability distribution function of X(n) = max(X₁, X₂,..., Xn). Fx (t) = for 0 ≤t≤ b and zero elsewhere I b) Find the probability density function of X(n)- fx (t) = c) Find the expected value of X(n) E(X(n)) = for 0 ≤t≤ b and zero elsewhere
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