Theoretical Stats Problem

May 2010
11
0
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.



Please help anyway you can!!
 
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