8. An unprincipled used car dealer sells a car to an unsuspecting buyer, even though the dealer knows that the car will have a major breakdown, anytime within the next 6 months. The dealer allows a warranty of 45 days on all cars sold. Let x represent variable with values between 0 and 6 months. a. Find the probability that the breakdown occurs while the car is still under warranty. b. Calculate the 55th percentile. c. Calculate the mean. 9. Given X ~ B(33,0.4), find the mean and standard deviation