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uva123
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Homework Statement
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.
Homework Equations
-c(p) is a convergent p series
3. The Attempt at a Solution
-I don't 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 #
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