answer please

Problem 5. (15 pts) Suppose that passengers arrive at a bus stop following a nonstationary Poisson process with rate function A(t) given as follows: 1 customer/ hour from 12:00 a.m. to 6:30 a.Ill. A(t ) = 10 customers/ hour from 6:30 a.m. to 12:30 p.m. 6 customers/hour from 12:30 p.m. to 12:00 a.In. Let X be the random variable that gives the number of passengers that arrive between 6:00 a.m. and 7:00 a.m. What is the pmf of X