Chapter 6, Problem 40PS

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 reports by interns to Glassdoor, the mean monthly pay of interns at intel is $\$5,940.$

Suppose that are 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

$\begin{array}{l}\text{a}\text{. less than }\$5,900?\\ \text{b}\text{.}\text{between}\$5,700\text{and}\$6,100?\\ \text{c}\text{.}\text{above}\$6,500?\\ \text{d}\text{.}\text{Ninety-nine percent of the intern montly pays are higher than what value?}\\ \text{e}\text{. Ninety-five percent of the intern monthly pays are between what two values, symmetrically distributed }\\ \text{around the mean?}\end{array}$