Problem 1 Let A, B and C are independent events with probabilities 0.17, 0.45, 0.32, respectively. (a) What is the probability that exactly one of the events A, B, C occurs? (b) Let X be the total number of events that occur. In fact, part (a) gives you P(X = 1). Find the rest of the pmf for X. (c) Does X has a binomial distribution? Explain. (d) Find P(X = 2|X > 0)