The NCAA basketball tournament is happening and two of the Final Four teams are Gonzaga (a #1 ranked team) and UCLA (a #11 rank). Assume this year Gonzaga averages 92 points per 40 minute game and UCLA averages 73. Assume points scored can be modeled with a Poisson process.

a. At 10 minutes, what's the probability UCLA will have 20 points? What's the probability Gonzaga will have 20 points?

b. What's the probability you will have to wait more than 1 minute for Gonzaga to score?

c. Will that probability change if they have not scored for the 2 minutes prior? Why or why not?