Question 6: Find the mean and variance of a random variable whose moment generatingfunction is M (t)

Question 6: Find the mean and variance of a random variable whose moment generatingfunction is M (t) = exp{3et − 3}.Question 7: Two fair six-sided dice are rolled. Let A be the event that both dice show an evennumber. Let B be the event that the sum of the two dice equals 6.(a) Find P (A ∪ B).(b) Find P (A | B).