Suppose the length of a typical televised football game, including all commercial timeouts, is normally distributed with a mean of 2.45 hours and standard deviation 0.37 hour. Consider a televised football game that begins at 2:00 in the afternoon. The next regularly scheduled broadcast is at 5:00.
What is the probability that the game will cut into the the next programming, that is, go past 5:00?
If the football game is over before 4:30, another half-hour show can be inserted into the 4:30-5:00 slot. What is the probability of this occurring?