Events occur according to a Poisson process with rate = 2 per hour. (a) What is

Events occur according to a Poisson process with rate λ = 2 per hour.

(a) What is the probability that no event occurs between 8 P.M. and 9 P.M.?

(b) Starting at noon, what is the expected time at which the fourth event occurs?

(c) What is the probability that two or more events occur between 6 P.M. and 8 P.M.?