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Theoretical Stats Problem

  1. May 10, 2010 #1
    1. The problem statement, all variables and given/known data

    for each value of p>1

    c(p)= 1/xp

    (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)xp] 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 X1 and X2 are independent random variables, each of which has the p.f.
    above. Determine the probability that X1+X2 will be even
    and the probability that X1+X2 will be odd.


    2. Relevant equations

    -c(p) is a convergent p series

    3. The attempt at a solution

    -I dont even know where to start! please help!
    -does f(x) reduce to 1? if so then x=1 so x only divisible by n is n=1 and the probability x is odd would be 1 because x is an odd #
     
    Last edited: May 10, 2010
  2. jcsd
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