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Anna71 [15]
3 years ago
9

from a survey taken several years ago, the starting salaries of individuals with an undergraduate degree from business schools a

re 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
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

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

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