The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542. Suppose annual salaries in the metropolitan Boston area are normally distributed with a standard deviation of $4,246. A Boston worker is randomly selected.

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

(a)What is the probability that the worker's annual salary is more than $59,000?

(b)What is the probability that the worker's annual salary is less than $44,000?

(c)What is the probability that the worker's annual salary is more than $39,000?

(d)What is the probability that the worker's annual salary is between $43,000 and $54,000?