A test measuring the knowledge of the U.S. Constitution has been given to a national sample of 6000 high school seniors. The distribution of scores approximates the normal curve and has a mean of 79 and a standard deviation of 6.5.

a. what percentage of those tested scored 68 or below?

b. how many of the 6000 individuals scored between 68 and 87?

c. I want to give the top 7% of the students a prize for doing such a great job on the exam. What would be the lowest score eligible for a prize?