The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of five per hour.
(a) What is the probability that exactly two arrivals occur during a particular hour? (Round your answer to three decimal places.)
(b) What is the probability that at least two people arrive during a particular hour? (Round your answer to three decimal places.)
(c) How many people do you expect to arrive during a 15-min period?
people
You may need to use the appropriate table in the Appendix of Tables to answer this question.