The time X it takes Professor Sawyer to drive to campus on a randomly selected day follows a distribution that is approximately Normal with mean 37 minutes and standard deviation 3 minutes. After parking his car it takes an additional 3 minutes to walk to his classroom and 2 minutes to start the computer. Then he is ready to begin class. Let T = the total time it takes Professor Sawyer to get to his classroom and be ready to begin class. Describe the shape, center, and variability of the probability distribution of T.