Interns report that when deciding on where to work, career growth, salary and compensation, location and commute, and company culture and values are important factors to them. According to the Glassdoor blog’s “25 Highest Paying Companies for Interns 2014,” bit.ly/1gx6vjx, the mean monthly pay of interns at Intel is $ 4,648. Suppose that the intern monthly pay is normally distributed, with a standard deviation of $ 400. What is the probability that the monthly pay of an intern at Intel is 

a. Less than $ 4,500? 

b. Between $ 4,300 and $ 4,700? 

c. Above $ 5,200? 

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?