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Calculate the mean e[z] and the variancevar(z)

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Reference no: EM131104920

A random variable Z ahs Poisson distribution if 
p(k) = P(Z < k)
= λke-k / k!
For k = 0, 1, 2 . . . 
(a) Use the expansion

965_zz.jpg
To show that 

196_zzz.jpg

(b) Calculate the mean E[Z] and the varianceVar(Z)

Reference no: EM131104920

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