5.51 Suppose the average number of students who log on to a university's computer system is 4.45 in each 5-minute interval. a. What is the probability that six students will log on in the next minute? b. What is the probability that fewer than six students will log on during the next two minutes? 5.52 A study of various news home pages reports that the mean number of bad links per home page is 0.4 and the mean number of spelling errors per home page is 0.16. Use the Poisson distribution to find the probability that a randomly selected home page will contain: a. no bad links b. five or more bad links C. no spelling errors d. 10 or more spelling errors 5.53 In an online test, 10 multiple-choice questions are randomly selected from a test bank of 100 questions. Supposing that each student has two attempts at the online test, what is the probability that in the second test a student attempts there are: a. no questions from the first test? b. at least one question from the first test? C. exactly five questions from the first test? d 10 questions from the first test