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

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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 
 
Expert Solution
Step 1

Given:

X ~ Geo(p)

f(x)=qx-1p x=1,2,3...

P(X > α + β | X > α) = P(X > β) = qβ

 

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