(j) (3 points) Suppose 4 new people join a club on campus every day. According to a Poisson Process. By day two, 100 people have joined. When do you expect 180 people to have joined? i. day 20 ii. day 22 iii. day 27 iv. day 25 v. day 47 vi. None of the above SOLUTION: E[S 180 | $ 100 = 2] = E[S go] + 2 = 20 + 2 = 22 days. OR ELS 180 | N(2) = 100] = E[Sgo] + 2 = 20 + 2 = 22 days