In the context of your major field of study,(Accounting) makeup a normal distribution problem that addresses a probability and a percentile question.
In my major field of study of accounting, I am considering the number of people audited with home office deductions on their personnel tax returns during the month of January. Randomly this is a normal distribution of 24 tax returns with a home office deduction and a standard deviation of 12.3.
a. What is the probability that a randomlly selected person with a home office will be audited?
b. if a person with a home office what places them in the 90th percential?
c. if a person with a home office what places them in the 10th percential?