A lacrosse team has been in its premier league for the last 47 seasons. During this time they have a mean number of wins of 17.3 and a standard deviation of 2.2 wins. [2] a) What is the probability of the lacrosse team getting 21 wins in the upcoming season? [3] b) What is the probability of the lacrosse team getting between 15 and 18 wins? 12. A cruise ship has a 74% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month. [1] a) Is it possible to approximate this binomial distribution using a normal approximation? [2] b) What is the mean and the standard deviation for this approximation? [2] c) What is the probability that exactly 20 cruise ships will have leftover rooms using the normal approximation? [2] d) How different is the normal approximation from the binomial distribution value? Calculate the probability that exactly 20 cruise ships will have leftover rooms using the binomial method