The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI- 83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. #2 (a) What is the probability that a randomly selected teacher makes less than $42,000 per year? PO 42.000

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Numb 2. 6.3 Please round 4 dec places Please underline awnser.
The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard
deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-
83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.
#2
(a) What is the probability that a randomly selected teacher makes less than $42,000 per year?
PX42.000
Transcribed Image Text:The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI- 83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. #2 (a) What is the probability that a randomly selected teacher makes less than $42,000 per year? PX42.000
Expert Solution
Step 1

Given information-

Population mean, µ = $57,337

Population standard deviation, σ = $7500

Let, X be the teacher’s salary is normally distributed.

We have to find the probability that a randomly selected teacher makes less than $42,000 per year.

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