Let T- Exp(1) for some >0. Show that P{T>t+s T> s} = P{T>t} the conse ance of this equation for the waiting times betw

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Let T- Exp(1) for some >0. Show that
P{T>t+s |T> s} = P{T>t}
for any t,s ≥ 0. Explain the consequences of this equation for the waiting times between jumps of
a Poisson process!
Problem 5
Transcribed Image Text:Let T- Exp(1) for some >0. Show that P{T>t+s |T> s} = P{T>t} for any t,s ≥ 0. Explain the consequences of this equation for the waiting times between jumps of a Poisson process! Problem 5
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