The average salary of merchandisers is $42,000 per year with a standard deviation of $8000. a. What is the probability that a merchandiser earns more...

The average salary of merchandisers is $42,000 per year with a standard deviation of $8000.  

a. What is the probability that a merchandiser earns more than $57,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)

b. What is the probability that a merchandiser earns less than $29,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)

c. What is the probability that a merchandiser earns between $38,000 and $46,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)

d. What is the probability that a merchandiser will earn between $32,000 and $52,000 per year? (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.)       

e. What is the average salary below which 19% of the merchandisers earn? (Round the final answer to the nearest whole number.) 

f. What is the average salary above which the top 9% of the merchandisers earn? (Round the final answer to the nearest whole number.)