A set of final examination marks in a statistics unit is normally distributed with a mean of 73 and a standard deviation of 8.

1. What is the probability of getting a mark of 91 or less?

2.What is the probability that a student obtains a mark between 65 and 89?

3.If the lecturer gives Distinction and High Distinction grades to the top 15% of students, what mark does a student need to get a distinction?

4.If the lecturer gives grades of High Distinction to the top 15% of students, will you get it with a mark of 80?