Question

from a survey taken several years ago, the starting salaries of individuals with an undergraduate degree from business schools are normally distributed with a mean of $44,000 and a standard deviation of $4,000. what percentage of individuals with an undergraduate degree will likely have starting salaries of $38,600.00 to $49,400.00

Answer 1

Answer: 82.30%

Step-by-step explanation:

Given : The starting salaries of individuals with an undergraduate degree from business schools are normally distributed with

$\mu=\ 44,000$

$\sigma=\ 4,000$

Let X be the random variable that represents the starting salaries of randomly selected individual with an undergraduate degree from business school.

Z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= $38,600

$z=\dfrac{38600-44000}{4000}=-1.35$

For x= $49,400

$z=\dfrac{49400-44000}{4000}=1.35$

Using the standard normal table , the probability of individuals with an undergraduate degree will likely have starting salaries of $38,600.00 to $49,400.00 will be :-

$P(-135$