Suppose a Statistics Class Has a Distribution of Grades with a Mean

Short Answer

Suppose a statistics class has a distribution of grades with a mean of 70 and standard deviation of 15. Use this information to answer the following questions.
a. What score is at the 75^th percentile?
b. What is the z-score associated with a raw score of 60?
c.What is the z-score associated with a raw score of 70?
d.What is the probability of scoring a 90 or higher in this class?
e.What is the probability of achieving agrade between 60 and 80 in this class?
f.What is the probability of scoring a 50 or higher?
g.What score is at the 40^th percentile?