Establish the memoryless property of geometric distribution, that is, if X is a discrete RV following a geometric distribution, then P{X > m +n/X > m} = P{X > n}, where m and n are any two positive integers. Prove the converse also, if it is true. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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Establish the memoryless property of geometric distribution, that is, if X is
a discrete RV following a geometric distribution, then P{X > m +n/X > m}
= P{X > n}, where m and n are any two positive integers. Prove the converse
also, if it is true.
Transcribed Image Text:Establish the memoryless property of geometric distribution, that is, if X is a discrete RV following a geometric distribution, then P{X > m +n/X > m} = P{X > n}, where m and n are any two positive integers. Prove the converse also, if it is true.
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