A Statistics professor has office hours from 9am to 10am each day. The number of students waiting to see the professor is a random variable, X, with the distribution shown in the table below. The professor gives each student 10 minutes. If students typically arrive at the beginning of office hour, times, determine the probability that a student arriving last, around 9am, will have to wait at least 30 minutes to see the professor.

X	0	1	2	3	4	5
P(X=x)	0.05	0.10	0.40	0.25	0.15	0.05