10. Use the following data for problems the two problems below. A community college instructor finds that his students score on an exam is normally distributed with a population mean = 83 and population standard deviation = 5. 10.a The instructor wants to pass 95% of the class. What should be the minimum passing grade? Hint: what proportion of students will not pass? Where on the normal curve will these students be located? It's a really good idea to draw a picture of the normal curve, and label the portions of the curve where the passes and the not-passes are located.

10.b The instructor wants to give A's to 30% of his students. What should be the minimum grade for an A? Hint: Fill in the following table before you do this problem. What proportion of students will not get As? Where on the normal curve will the students who do not get As located? Left or right portion of the curve? Where on the curve are the students who do get As located?