The next three questions involves Bayes'stheorem. Use the following information to answer questions 9, 10, and 11.

In the billing department of a local city, Nancy, Bob, and Mary prepare and mail out 50%, 30%, and 20% of the real-estate tax bills, respectively, to property owners. The bills are verified by the treasurer before mailing. If 0.5% of the tax bills prepared by Nancy, 0.3% of the tax bills prepared by Bob, and 1.0%of the tax bills prepared by Mary are inaccurate, what are the probabilities that an inaccurate statement detected by the treasurer at final verification was prepared by:

a) Nancy

Express your answer as decimal rounded to 1 decimal place

b.) Bob

Express your answer as a decimal rounded to 1 decimal place

c.)Mary

Express your answer as a decimal rounded to 1decimal place.