1) If X is a Poisson distributed random variable with a mean of 3, and Y is another Poisson distributed random variable with a mean of 2, and the two are independent, what is the varianceof the sum X+Y?
2) If X is a random variable having a binomial distrubution with n=20 and p=.4, and Y is transformed version of X, where Y=2X+3, what is the expected value of Y?