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**
\[
P[(X \geq t+T) | (X \geq T)] = P(X \geq t)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868f8ce6-626d-4ec4-a5d0-0d068fad4c86%2F808cd1be-b37e-4222-9d8d-7df7ebdad75c%2Fqgql8gu_processed.jpeg&w=3840&q=75)
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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