1. Let X1,..., Xn be independent, X; ~ exp(A¡). a. Show that Y = min(X1,..., Xn) is also exponential with parameter %3D ... b. Show that P(Y = Xk) = 1++àn' %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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1. Let X1,..., Xn be independent, X; ~ exp(A;).
a. Show that Y:
min(X1,..., Xn) is also exponential with parameter
%3D
b. Show that P(Y = Xk) = 1+.An'
%3D
Transcribed Image Text:1. Let X1,..., Xn be independent, X; ~ exp(A;). a. Show that Y: min(X1,..., Xn) is also exponential with parameter %3D b. Show that P(Y = Xk) = 1+.An' %3D
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