9 pts 1 Details For a one-hour television broadcast, the mean show time (not including commercials) is 48.6 minutes with a standard deviation of 5.4 minutes. You may assume that the show times are normally distributed. Round your answers to four decimals for parts A and B, and use one decimal for part C. a. If one broadcast is selected at random, find the probability that the broadcast contains at least 58.6 minutes of show time. b. In a sample of 40 one hour broadcasts, find the probability that the mean of their total show times is less than 49.8 minutes. c. Find the fortieth percentile, P40, the show time that separates the lower 40% of show times from the rest.