If , then , which is a geometric series.
Hi everyone, I am really unsure of how to do this question.
Let X have a geometric distribution with f(x) = p(1-p)^x for x = 0,1,2,....
Find the probability function of R, the remainder when X is divided by 4.
I don't know where to start, but I'm suspecting that you would construct a geometric series with r, and find an expression for f(r)... Not really sure.
Any insight would be helpful.
So taking that geometric series, I can find the sum of the geometric series,which will express P (R = r)?
That is, we have P (R = r) = p(1-p)^r/ 1-((1-p)^4+r)) ?