Prove the memoryless property of Expoential Distribution. Hint: Prove that For Fx (x)=0, x ≤ 0; Fx (x)=1-e-,> 0. X-exponential(X) and any two positive real numbers and y. P(X2z+y₁ X 2 z)=P(X2 v).
Prove the memoryless property of Expoential Distribution. Hint: Prove that For Fx (x)=0, x ≤ 0; Fx (x)=1-e-,> 0. X-exponential(X) and any two positive real numbers and y. P(X2z+y₁ X 2 z)=P(X2 v).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![Prove the memoryless property of Expoential Distribution.
Hint: Prove that For X-exponential(X) and any two positive real numbers a and y, P(X2x+y₁ X 2 x) = P(X ≥ 1).
Fx (x)=0, x ≤ 0; Fx (x) = 1 -e-, a > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd14fbebe-b3d9-42f1-bab0-96d5f5da51de%2F7315c2ce-aadb-41ad-a78d-95a0fa97bc47%2Fol139e9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove the memoryless property of Expoential Distribution.
Hint: Prove that For X-exponential(X) and any two positive real numbers a and y, P(X2x+y₁ X 2 x) = P(X ≥ 1).
Fx (x)=0, x ≤ 0; Fx (x) = 1 -e-, a > 0.
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