The Burlington plant uses two separate work shifts, day shift (8:00 am to 4:30 pm) and night shift (7:00 pm to 3:30 am). The dayshift produces 65%(45) of the product, while the night shift produces the remainder.

Assignment

The Quality Control department said that 8% of the product from the morning shift is defective while 5%. of the night shift product is defective. The Bayes Theorem will help you determine the probability that these defects are an indicator of an underlying quality control issue. Construct a contingency table using the given probabilities and interpret your findings and suggest recommendations.Answer the following questions using the Bayes Theorem. In your response, make sure that you explain and justify your answers:

1. Given the finished product is defective, what is the probability it was produced during the day shift?2. What is the probability the finished product was produced during the night shift given it is defective?

The problem i am having is I have worked this 2 different ways and have 2 different answers. I am wanting to see how someone else works it and the answers you come up with for comparison. I feel the one way is truly using Bayes theorem, whereas the other way I worked the problem is according to what it appeared the instructor did in our video lecture. Thank you for any assistance.