1. Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes. What is the probability that fewer than four customers will arrive in a 30-minute segment?

2. The mean number of errors per page made by a member of the word-processing pool for a large company is thought to be 2.6 with the number of errors distributed according to a Poisson distribution. If a page is examined, what is the probability that more than 2 errors will be observed?