7.7.3 Let X₁,. X be a set of independent random variables with a U(0, 0) distribution, and let T= max(X₁, ..., Xn) ..... (a) Explain why the cumulative distribution function of Tis F (t) = ( ; )” C for 0 < (b) Show that the probability density function of Tis f(t) − (;)” = for0 < t < 0.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7.7.3 Let X₁,..., X be a set of independent random variables with a U(0, 0) distribution, and let
T= max (X₁,..., Xn)
(a) Explain why the cumulative distribution function of Tis
F (t) = (-)"
for 0 <
(b) Show that the probability density function of Tis
f(t) - (;)"
for0 < t < 0.
4
Transcribed Image Text:7.7.3 Let X₁,..., X be a set of independent random variables with a U(0, 0) distribution, and let T= max (X₁,..., Xn) (a) Explain why the cumulative distribution function of Tis F (t) = (-)" for 0 < (b) Show that the probability density function of Tis f(t) - (;)" for0 < t < 0. 4
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