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Math Help - Theoretical Stats Problem

  1. #1
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    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.



    Please help anyway you can!!
    Last edited by uva123; May 10th 2010 at 04:59 PM.
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