If X has an exponential distribution, show that

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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Given the exponential distribution: f(x) = {1/θ e^(-x/θ) ; x > 0

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**16. If \( X \) has an exponential distribution, show that**

\[
P[(X \geq t+T) | (X \geq T)] = P(X \geq t)
\]
Transcribed Image Text:**16. If \( X \) has an exponential distribution, show that** \[ P[(X \geq t+T) | (X \geq T)] = P(X \geq t) \]
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