Question

Question 1: Decision trees and Bayes' theory (a) You hire an you as that grades the part with a pass or a fail. As a company, you know that 90 % of your engineer who performs a quality control check on a part and returns a report to high quality and 10 % of your parts are low quality. The engineer will grade a high parts are quality with a pass with probability 85%; the engineer will also grade a low quality with a pass with probability 5%. What is the probability the engineer gives a pass to any part? (b) Consider the same engineer from earlier. They just gave a pass grade to a part. What is the probability the part is indeed of high quality? (c) This part does not use the information from parts (a) and (b). A restaurant needs to hire a chef. A good chef costs $5,000 per month and cooks foods of high quality with probability 95% whereas an average chef costs $4,000 per month and cooks food of high quality with probability 80%. Assume that you make $10,000 monthly for high quality foods and $7,000 monthly for low quality foods. Which chef would you hire for the restaurant? Answer:

Answer 1

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