The U.S. Bureau of Economic Statistics reports that the averageannual salary in the metropolitan Boston area is $50,542. Supposeannual salaries in the metropolitan Boston area are normallydistributed with a standard deviation of $4,246. A Boston worker israndomly 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 ismore than $60,000?
(b) What is the probability that the worker’s annual salary isless than $42,000?
(c) What is the probability that the worker’s annual salary ismore than $39,000?
(d) What is the probability that the worker’s annual salary isbetween $43,000 and $51,000?