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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).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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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.
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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