An important note please read it . this is the 3rd time I post this q.So,please do not send me acopy of answer which it closed before Below are the solutions from my textbook to check your answer before sending it: ((a) E[N15] = V [N15] = 30; (b) 0.542; (c) 0.476; (d) 0.152; (e) 9:03 and 30 s.) The question Starting at 9 a.m., students arrive to class according to a Poisson process with parameter  = 2 (units are minutes). Class begins at 9:15 a.m. There are 30 students. (a) What is the expectation and variance of the number of students in class by 9:15 a.m.? (b) Find the probability there will be at least 10 students in class by 9:05 a.m. (c) Find the probability that the last student who arrives is late. (d) Suppose exactly six students are late. Find the probability that exactly 15 students arrived by 9:10 a.m. (e) What is the expected time of arrival of the seventh student who gets to class?