Customers arrive at a certain business at a rate of 6 per hour. Assuming a Poisson model for their arrival, answer the following questions.
a) What is the probability that no customers come between 10:00 and 10:20?
b) What is the probability that exactly two customers come between 10:00 and 10:20?
c) What is the probability that more than 6 customers come between 10:00 and 11:00? Less than 6? Exactly 6?
d) Sam is working a 4-hour shift. What is the probability that between 20 and 30 (inclusive) customers come on his shift?
e) Why might a Poisson model not be a very good model for some businesses?