The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with µ = 2.83 per day. The squad can handle at most four calls a day.

a. What is the probability that the squad will be able to handle all the calls on a particular day?

b. The squad wants to have at least 95% confidence of being able to handle all the calls received in a day. At least how many calls a day should the squad be prepared for?

c. Assuming that the squad can handle at most four calls a day, what is the largest value of µ that would yield 95% confidence that the squad can handle all calls?