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26) Salaries for entry level employees working in a certain industry are normally distributed with a...

26) Salaries for entry level employees working in a certain industry are normally distributed with a mean of $37,152 and a standard deviation of $1,739.

What proportion workers in this industry have entry level salaries less than $40,000?

Round your answer to 4 decimal places.

Please explain each step in detail. Thank you!

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Let X denotes the salary of a randomly selected worker.

Here,

X ~ Normal(37152, 17392)

Now,

The proportion workers in this industry have entry level salaries less than $40,000

=P(a randomly selected worker has salary less than $40,000)

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