[Steps Shown] Three employees of a fast food outlet, Janet, Andrea and Bill fill orders at the drive through window. Janet fills 35% 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 35% of the drive through orders, Andrea 36% and Bill 29%. 93% of Janet’s orders are filled correctly as are 97% of Andrea’s and 91% of Bill’s. Suppose a drive through order is randomly selected. Find the following.
- The probability that an order is filled by Janet.
- The probability that an order is incorrectly filled given that it is filled by Janet.
- The probability that an order is filled by Janet and is incorrectly filled.
- Suppose that it is known that an order is incorrectly filled. Use the tabular form of Bayes Theorem to find the probability that it is filled by Janet.
- Use information above to find the probability that an order is filled by Andrea or is correctly filled.
Deliverable: Word Document 
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