29. Suppose the number of miles (in thousands) that a car can run, X, before its battery wears out is Exponentially distributed with an average of 10,000 miles. Suppose a person desires to take a 5,000- mile trip. a. What is the probability that he or she will be able to complete the trip on a brand new battery? b. Halfway through the trip (after 2,500 miles) The driver decides to take a longer (more scenic) route, which is another 5,000 miles. What is the probability that he or she will complete the trip? c. Suppose they have already travelled 5,000. How much longer can they expect to travel before the battery wears out? d. Repeat (a) - (b) supposing that X is Uniform over (0, 20000). e. Repeat (a) - (b) supposing that X is approximately Normal with mean 10,000 and standard deviation 3000