On average, an American professional football game lasts about three hours, even though the ball is actually in play only 11 minutes (www.sportsgrid.com, January 14, 2014). Assume that game times are normally distributed with a standard deviation of 0.4 hour.

a. Find the probability that a game lasts less than 2.5 hours.

b. Find the probability that a game lasts either less than 2.5 hours or more than 3.5 hours.

c. Find the maximum value for the game time that will place it in the bottom 1% of the distribution.