11. The scheduled arrival time for a daily flight from Boston to New York is 9:25 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:15 am and a late arrival time of 9:55 am. a. Calculate the mean and the standard deviation of the distribution. b. What is the probability that a flight arrives late (later than 9:25 am)? 95. The mileage (in 1,000s of miles) that car owners get with a certain kind of radial tire is a random variable Yhaving a lognormal distribution such that Y = 6" where X is normally distributed. Let the mean and the standard deviation of the life of a radial tire be 40,000 miles and 5,000 miles, respectively. a. Compute the mean and standard deviation of X. b. What proportion of the tires will last for more than 50,000 miles? c. What proportion of the tires will last for no more than 35,000 miles? (1. Compute the 95th percentile of the life expectancy of the tire