Suppose X and Y are independent random variables with the same geometric distribution, P[X=k]=P[X=y]=p*q^(k-1) for k>=1 where q=1-p
For any positive integer r, let Xr be such that P[Xr = k] = P[X-r = k l X >r]. Show that Xr is also geometrically distributed with parameter p.
ii) Find P[X=k l X+Y=n+1] where n>=1. What is this distribution?
For the first part, is P[Xr = k] = P[X=k+r l x>r] = pq^((k+r)-1) = P[Xr= (k+r)] sufficient?
Not sure about the second part
Claims damages because he didn't get a first