[All Steps] Three employees of a fast food outlet, Janet, Andrea and Bill fill orders at the drive through window. Janet fills 29% of the drive through
Question: Three employees of a fast food outlet, Janet, Andrea and Bill fill orders at the drive through window. Janet fills 29% of the drive through orders, Andrea 36% and Bill 35%. 2% of Janet’s orders are filled incorrectly as are 2.5% of Andrea’s and 3% of Bill’s. Suppose a drive through order is randomly selected. Find the following.
- The probability that an order is filled by Andrea
- The probability that an order is correctly filled given that it is filled by Bill
- The probability that an order is filled by Bill and is correctly filled.
- Suppose that it is known that an order is correctly filled. Use the tabular form of Bayes Theorem to find the probability that it is filled by Bill.
- Use information above to find the probability that an order is filled by Bill or is correctly filled.
Deliverable: Word Document 
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