The manager of an online shopping website has determined that an average of 11 customers per minute make a purchase on Saturdays. The manager believes that each customer’s purchase is independent and has decided to model the number of purchases per minute using a Poisson probability distribution.
a. What is the probability that during a one-minute interval on Saturday exactly 8 purchases will be made?
b. What is the probability that more than 15 purchases will be made during a one-minute interval on Saturday?