Chapter 6, Problem 41PS

According to the same Glassdoor source mentioned in Problem 6.34, the mean monthly pay for interns at Facebook is $\text{\$}6,589.$ Suppose that the intern monthly pay is normally distributed, with a standard deviation of $\text{\$}500.$ What is the probability that the monthly pay of an intern at Facebook is

$\begin{array}{l}\text{a}\text{. less than}\text{\$}5,900?\\ \text{b}\text{.}\text{between}\text{\$}5,700\text{and}\$6,100?\\ \text{c}\text{.}\text{above}\text{\$}6,500?\\ \text{d}\text{.}\text{Ninety-nine percent of the intern montly pays are higher than what value?}\\ \text{e}\text{. Ninety-five percent of the intern monthly pays are between what two values, symmetrically distributed }\\ \text{around the mean?}\\ \text{f}\text{.}\text{Compare}\text{the}\text{results}\text{for}\text{intel}\text{interns}\text{computed}\text{in}\text{Problem}\text{6}\text{.34}\text{to}\text{those}\text{of}\text{Facebook}\text{interns}\text{.}\end{array}$