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# Normal Distribution

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Nurses saleries are Normally distributed with mean of 35,000 and standard deviation\$1700.
A. What is the probability that a nurse earn more than \$36,000?
B. What is the probality that a group of 10 nurses have mean salary greater than \$36,000?
c. What salary does a nurse need to earn to have a salary in the top 25% of nurses' salaries?

##### Solution Summary

Nurses salaries are Normally distributed with mean of \$35,000 and standard deviation \$1700.
A. What is the probability that a nurse earn more than \$36,000?
B. What is the probality that a group of 10 nurses have mean salary greater than \$36,000?
c. What salary does a nurse need to earn to have a salary in the top 25% of nurses' salaries?

##### Solution Preview

A) first, calculate the z value by z = (X-M)/SD = (36000-35000)/1700= 0.588
<br>then Pr(X>36000) = Pr(z>0.588) = 1- Pr(z<0.588) = 1-0.722 =0.278
<br>z value is found from a z-table.
<br>Therefore, the probability that a nurse earn more than \$36,000 is ...

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