A set of midterm exam grades in a physics course is normally distributed, with a mean of 73 and a standard deviation of 8. For the below present answer with 4 decimals.

1. What is the probability that the student scored below 91 on this exam?
2. What is the probability that a student scored between 65 and 89?
3. The probability is 5% that a student taking the test scores higher than what grade?
4. If the professor grades on a curve (gives A to the top 10% of the class regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam where the mean is 62 and standard deviation is 3. Explain.