According to the same Glassdoor source mentioned in Problem 6.40, the mean monthly pay for interns at Facebook is $6,589. Suppose that the intern monthly pay is normally distributed, with a standard deviation of $500. What is the probability that the monthly pay of an intern at Facebook is 

a. Less than $5,900?

b. Between $5,700 and $6,100?

c. Above $6,500?

d. Ninety-nine percent of the intern monthly pays are higher than what value?

e. Ninety-five percent of the intern monthly pays are between what two values, symmetrically distributed around the mean?

f. Compare the results for the Intel interns computed in Problem 6.40 to those of the Facebook interns.