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The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan area of some city is $50,569. Suppose annual salaries in this metropolitan city area are normally distributed with a standard deviation of $4,224. A city worker is randomly selected.

Round the values of z to 2 decimal places. Round your answers to 4 decimal places, the tolerance is +/-0.0001.

(a) What is the probability that the worker's annual salary is more than $55,000?


(b) What is the probability that the worker's annual salary is less than $40,000?


(c) What is the probability that the worker's annual salary is more than $40,000?


(d) What is the probability that the worker's annual salary is between $45,000 and $58,000?

Microeconomics, Economics

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