Assuming that the mean percentage achieved by a student in a statistic exam is equivalent to your score on the last Quiz. (i.e. 70%)

The standard deviation of the exam marks is 9%. Answer the following questions:

1.What is the probability of someone scoring higher than you?

2.What percentage of people score above the mean but lower than you?

3.What is the probability that a randomly selected student scores above 80%?

4.What is the probability that a randomly selected student scores below 25%?

5.What is the probability that a randomly selected student scores between 40% and 75%?

6.Suppose you were sitting this exam and you are offered a prize for getting a mark which is greater than 90% of all the other students sitting the exam? What percentage would you need to get in the exam to win the prize?