38. Do interruptions while you are working reduce your productivity? According to a University of California–Irvine study, businesspeople are interrupted at the rate of approximately 51

⁄2 times per hour (Fortune, March 20, 2006). Suppose the number of interruptions follows a Poisson probability distribution.

a. Show the probability distribution for the time between interruptions.

b. What is the probability a businessperson will have no interruptions during a 15-minute period?

c. What is the probability that the next interruption will occur within 10 minutes for a particular businessperson?