Question

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What percentage of MBA's will have starting salaries of $34,000 to $46,000

Answer 1

The correct answer is "76.98%".

Explanation:

According to the question,

⇒
`P(34000<x<46000) = P[(34000-40000)/(5000) <(x- \mu)/(\sigma) <(46000-40000)/(5000) ]`

`=P(-1.2<z<1.2)`

`=P(z<1.2)-P(z<-1.2)`

`=0.8849-0.1151`

`=0.7698`

or,

`=76.98`%