Q1: Suppose two fair six-sided dice are tossed and the random variable X is used to represent the sum of the numbers shown by the dice. Compute E [X|X>6] and Var [X|X>6].
Q2: The random variable X is binomial with n =75, p=0.04 while Y is binomial with n = 100, p=0.04, and Z is binomial with n=50, p=0.04. Let W = X+Y+Z. Compute E[W], Var[W], and Pr[W>2].