Question: Please show work so i can understand how to complete the problem Applying the Central Limit Theorem The annual salaries for a population of 29

Please show work so i can understand how to complete the problem

Applying the Central Limit Theorem

The annual salaries for a population of 29 year old males is normally distributed, with m = $29,321 and s = $2,120.

Answer the questions below based on the parameters listed above.Round z-scores to 2 decimal places in your calculations, and look up the probability in the z-table.Report the probability out to 4 decimal places.

1.What is the probability that 1 randomly chosen male will have a salary greater than $29,000?

2.What is the probability that a sample of 25 randomly chosen males will have a mean salary greater than $29,000?

3.What is the probability that a sample of 100 randomly chosen males will have a mean salary greater than 29,000?

4.What is the probability that 1 randomly chosen male will have a salary between $28,000 and $29,000?

5.What is the probability that a sample of 100 randomly chosen males will have a mean salary between $28,000 and $29,000?

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