A university discovers that its colleges dont each require a full time technical supportExample3.2.4 person. In fact, it estimates that any one of the ten colleges has only a 0.2 probabilityof needing a technical support person in any given day. They decide to create a pool of five support personnel to be called upon by the colleges. What is the probability that a college will have to wait on someone to get free?Assume the needs of the colleges for service are independent. Then the numberof support persons needed per day is a sequence of n Bernoulli trials, where a successmeans that a college needs a technical support person. Here n = 12. and p = 0.3 A group has to wait if the number of successes is strictly greater than 5. But theprobability of more than five successes is10 (0.2)k(0.8)10k = 0.006. kk=6In a month, there are approximately two hundred college-days, so typically inonly one of those college-days per month will there be some wait time.