A poisson random variable has a pmf of the form- find the


A Poisson random variable has a PMF of the form

k = 0,1,2.....

(a) Find the characteristic function 

(b) Find the first three nonzero terms in the Taylor series expansion of  

(c) Use the results of part (b) to find the mean, variance, and skewness of the Poisson random variable.

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Basic Statistics: A poisson random variable has a pmf of the form- find the
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