I am not looking for just free handout answers but I am having extreme trouble with quite a few Prob and Stat problems. My instructor likes to do proofs in class and then assign application problems, up until now I have been able to read the book to figure the work out but I cannot find these questions in the book as they are ones he posted on an online homework site instead.
The moment generating function of X is MX(t)=e^(2e^t − 2) and Y is MY(t)=(0.2e^t + 0.8)^7. Suppose X and Y are independent and compute the following: Pr(X+Y=3)= ?
I think this is a poisson random variable mixed with a binomial but I don't know how to solve it