At ABC Bank, customers arrive at a teller line at a rate of 10 per five-minute period. Assuming that customers arrive randomly and independently, use the Poisson probability distribution to answer the following questions: (8 points)

a.What is the probability that no customers arrive in a five-minute period?

b.What is the probability that 3 or fewer customers arrive in a five-minute period?

c.What is the probability that no customers arrive in a one-minute period?

d.What is the probability that at least 1 customer arrives in a one-minute period?