Question

Question 1

1. A set of final examination grades in an introductory statistics course is normally distributed with a mean of 85 and a standard deviation of 12.

a) What is the probability of getting a grade of 95 on this exam?

b) What is the probability that a student scored less than 55 and more than79?

c) The probability is 8% that a student taking the test scores higher than than what grade?

d) If the professor grades on a curve ( gives A’s to the top 15% of the class regardless of the score), are you better off with a grade of 84 on this exam or a grade of 68 on a different exam where the mean is 65 and the standard deviation is 5? Show your answer statistically [that is do the calculation] and explain

Answer 1

Thank you