10. A speed trap on the highway set by the O.P.P. shows that the mean speed of cars is 103.4 km/h with a standard deviation of 9.8 km/h. The posted speed limit on the highway is 100 km/h. [2] a) What percentage of drivers are technically driving under the speed limit? [2] b) Speeders caught traveling 25 km/h or more over the speed limit are subject to a $5000 fine. What percentage of speeders will be fined $5000? [2] c) Police officers tend not to pull over drivers between 100 km/h and 110 km/h. What percentage of drivers are these? [2] d) The top 2% of all drivers speeding are subject to losing their license. According to the data, what speed must a driver be traveling to lose his or her license?

11. 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.

C) Thinking/Inquiry (4 marks) 14. When two teams battle in a championship final, the Stars have a 54% chance of winning a game when playing at home and the Pros have a 57% chance of winning a game when playing at home. In a best-of-three matchup, the first game will be played at the Stars home field, the second game at the Pros home field and the third game back at the Stars home field. [

1] a) What is the probability the Stars win the final in two straight games? [1] b) What is the probability the Pros win the final in two straight games? [1] c) What is the probability the Stars win the final in three games? [1] d) What is the probability the Pros win the final in three games?