Let X ~ Poisson(a). Show that E[X(X-1) (X-2)… (X-k)]= ak+1 ...

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 57E
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Let X- Poisson(a). Show that E[X(X-1) (X-2)… (X-k)]= ak+1
Transcribed Image Text:Let X- Poisson(a). Show that E[X(X-1) (X-2)… (X-k)]= ak+1
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