x,y are independent poisson RV with parameter 1 and parameter 2... determind the conditional distribution of x given x+y and find E(X|X+Y)...
I'll check your work, if you post it.
Put in the poisson work and reduce it.
Hit quote on my work above and continue with that ratio of probabilities.
You'll learn TEX as you do the math.
It's a win-win for you.
P(X=k|x+y=n) is bionominal distribution with BIN( n, lambda 1/ (lambda 1+lambda 2) )
so E(x|x+y) = n* lambda 1/ (lambda 1+lambda 2)
Am I right? Um.. I don't know where can I click "thank"? coz this is the first time I use this website.....Where is it?