5). The probability that a new car of a certain model will require repairs during the warranty period is 0.15. A particular dealership sells 15 such cars. Let X be the number that will require repairs during the warranty period. a. Explain how you know that X is a binomial random variable. b. Find the probability that exactly 5 cars will need repairs. c. Find the probability that no less than 13 cars will need repairs. d. Compute the mean for X.