Nacademic department with five faculty members—anderson, box, cox, cramer, andfisher—must select two of its members to serve on a personnel review committee. be-cause the work will be time–consuming, no one is anxious to serve, so it is decided thatthe representatives will be selected by putting five slips of paper in a box, mixing them, and selecting two.(a) what is the probability that both anderson and box will be selected? (b) what is the probability that at least one of the two members whose name begins withcis selected? (c) if the five faculty members have taught for 3, 6, 7, 10, and 14 years, respectively, at theuniversity, what is the probability that the two chosen representatives have at least 15years’ teaching experience at the university?