A dolphin show is scheduled to start at 9:00 A.M., 9:30 A.M., and 10:00 A.M. Once the show starts, the gate will be closed. A visitor will arrive at the gate at a time uniformly distributed between 8:30 A.M. and 10:00 A.M. Determine a) The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival Click here to enter or edit your answer F(x) for 0sxs 90 90 b) The mean and variance of the distribution. Mean = 45 minutes variance = 675 minutes c) The probability that a visitor waits less than 13 minutes for a show 0.33 (Round your answer to 3 decimal places.)