# Answer to Question #40989 in Statistics and Probability for Jack

Question #40989

For some constant C, the random variable N has pmf

Pn(k) = C/k(k+1), k=1,2,...

(a) What is the numerical value of the constant C?

(b) Is it more likely that N will be even or odd number?

(c) Find a simple expression for the CDF of N. Simply.

(d) Find the mean and variance of N or show that they do not exist.

Pn(k) = C/k(k+1), k=1,2,...

(a) What is the numerical value of the constant C?

(b) Is it more likely that N will be even or odd number?

(c) Find a simple expression for the CDF of N. Simply.

(d) Find the mean and variance of N or show that they do not exist.

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