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Let α and β be positive integers and X ~ Geo(p). Show that P(X > α + β | X > α) = P(X > β) = qβ

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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Question

Let α and β be positive integers and X ~ Geo(p). Show that

P(X > α + β | X > α) = P(X > β) = q^β

Expert Solution

Step 1

Given:

X ~ Geo(p)

f(x)=q^x-1p x=1,2,3...

P(X > α + β | X > α) = P(X > β) = q^β

Step by step

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