8) A statistics professor has office hours from 9:00 AM to 10:00 AM each day. The number of students waiting to see the professor is a random variable, X, with the probability distribution shown in the table below. possible value, x: probability, p(x): 0.05 0 1 2 3 4 5 0.10 0.40 0.25 0.15 0.05 During office hours, the professor helps each student for exactly 10 minutes and then immediately begins helping the next student. Blake must wait to see the professor after the X students. What is the probability that Blake waits no longer than 30 minutes to see the professor? a. 0.80 b. 0.05 c. 0.55 d. 0.15 e. 0.95