For a one hour television broadcast the main showtime not including commercials is 42.6 minutes with a standard deviation of 5.4 minutes you may assume that the showtimes are normally distributed. round your answer to 4 decimals for parts A and B use one decimal for part C. A. If one broadcast is selected at random find the probability that the broadcast contains at least 29.9 minutes of Showtime.

B. In a sample of 34 for one hour broadcast find the probability that the mean of their total showtimes is less than 45 minutes.

C. Find the 5th percentile P50, the Showtime that separates the lower 50% of showtimes from the rest.