Problem 2. Please answer the following probability questions. a. Your take trip by air that involves three independent flights. If there is a 80% chance each specific leg of the trip is on time, what is probability that all three flights arrive on time? b. You roll a fair die twice. What is the probability that i) the two rolls are both 3? ii) the two rolls have different values? c. A survey finds that 30% of workers have access to paid vacations. In a random sample of 9 individuals, what is the probability that exactly 4 individuals have paid vacations? (Hint: use binomial probability distribution)