The arrival of pieces of mail in your mailbox might be modeled as a Poisson process in which a stream of mail is arriving at random times, but you observe only as much as accumulates in a day.

1.Suppose you receive an average of 2.5 pieces of mail each day. Under the assumption of the Poisson point process model, about how often should you expect to receive no mail?

2.Make a plot of number of pieces of mail on the x-axis and probability of getting that many pieces on the y-axis, again assuming that mail arrival may be modeled as a Poisson process.