In: Statistics and Probability
Consider rolling two dice and let (X, Y) be the random variable pair defined such that X is the sum of the rolls and Y is the maximum of the rolls.
Find the following:
(1) E[X/Y]
(2) P(X > Y )
(3) P(X = 7)
(4) P(Y ≤ 4)
(5) P(X = 7, Y = 4)