1. Two 5-year old girls, Alyse and Jocelyn, have been training to run a 1 mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's 1 mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. :1) Assuming A and J are independent random variables, let D = AJ and nd the mean and standard deviation of D. Show your work. b) Find the probability that Alyse nishes a randomly selected l-mile run with a faster time. Sketch the distribution used and interpret the nal