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27) The mean salary of people living in a certain city is $37,500 with a standard...

27)

The mean salary of people living in a certain city is $37,500 with a standard deviation of $1,614. A sample of 49 people is selected at random from those living in the city.

Find the probability that the mean income of the sample is less than $38,000.

Round your answer to 4 decimal places.

Please show all steps and explain in detail. Thank you!

Math   Statistics-And-Probability   
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