On average, the state police catch eight speeders per hour at a certain location on Interstate 90. Assume that the number of speeders per hour follows the Poisson distribution.
a. What is the probability that the state police wait less than 10 minutes for the next speeder?
b. What is the probability that the state police wait between 15 and 20 minutes for the next speeder?
c. What is the probability that the state police wait more than 25 minutes for the next speeder?