Question

1. A set of Midterm examination grades in “Decision making under uncertainty” course is normally distributed, with a mean of 79 and a standard deviation of 7. Complete parts (a) through (d).

   1. a) What is the probability that a student scored below 88 on this exam?

   2. b) What is the probability that a student scored between 72 and 94?

   3. c) The probability is 15% that a student taking the test scores higher than what grade?

   4. d) If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 93 on this exam or a grade of 66 on a different exam, where the mean is 63 and the standard deviation is 33? Show your answer statistically and explain.

Answer 1