Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating
this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A – B, in the number of Alicia’s and Bennie’s flowers drawn in 1 minute. What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
