1. An elite university only accepts the top 5% of students within the province to attend their university. Last year the student's average marks were normally distributed with a mean of 78% and a standard deviation of 6.5%. What average is needed in order to attend this university?
2. The passengers on a river cruise boat are made up of 75 Canadians, 10 Britons and 15 Americans. The captain choses 8 passengers at random to invite to her table for the farewell dinner. Use the normal approximation model to determine the probability that exactly 3 Canadians are chosen.

a) Determine the mean and standard deviation

b) Use the normal approximation model to determine the probability that exactly 3 Canadians are chosen