4. Suppose X has an exponential distribution with parameter A and that t1, t2 > 0. Prove that X is 'memoryless' in that Pr(X >t+ta|X > ti) = Pr(X > t2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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4. Suppose X has an exponential distribution with parameter A and that t1, t2 > 0. Prove that
X is 'memoryless' in that
Pr(X >t+t2|X > ti) = Pr(X > t2)
%3D
Transcribed Image Text:4. Suppose X has an exponential distribution with parameter A and that t1, t2 > 0. Prove that X is 'memoryless' in that Pr(X >t+t2|X > ti) = Pr(X > t2) %3D
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