1. ## Theoretical Stats Problem

i need help solving this problem!

for each value of p>1

c(p)= 1/x^p
(the n=1 under the sumation symbol should be x=1)

Suppose that the random variable X has a discrete distribution with the following p.f.:

f(x)= 1/[c(p)x^p] for x=1,2,...

(a) For each fixed positive integer n, determine the probability that \ will be divisible by n;

(b) Determine the probability that X will be odd.

(c) Suppose that X(subscript 1) and X(subscript 2) are independent random variables, each of which has the p.f.
above. Determine the probability that X(subscript 1)+X(subscript 2) will be even
and the probability that X(subscript 1)+X(subscript 2) will be odd.