Poisson distribution By using the following probability distribution w(x)e-* E[w(x)]x! p(x,2) = And suppose w (x) =( a – A*) Prove 1-moment generating function equal e a Find 2-factorial moment

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Poisson distribution
By using the following probability distribution
w(x)e-*
p(x,1) =
E[w(x)]x!
And suppose w (x) =( a – 1*)
Prove. 1-moment generating function equal
2
e a
Find 2-factorial moment
Transcribed Image Text:Poisson distribution By using the following probability distribution w(x)e-* p(x,1) = E[w(x)]x! And suppose w (x) =( a – 1*) Prove. 1-moment generating function equal 2 e a Find 2-factorial moment
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