The average salary of merchandisers is $45 000 per year with a standard deviation of $6000.
a. What is the probability that a merchandiser earns more than $55 000 per year?
b. What is the probability that a merchandiser earns less than $32 000 per year?
c. What is the probability that a merchandiser earns between $40 000 and $50 000 per year?
d. What is the probability that a merchandiser will earn between $36 000 and $54 000 per year?
e. What is the average salary below which 20% of the merchandisers earn?
f. What is the average salary above which the top 10% of the merchandisers earn?