Question: - Homework: - (1) A quality control sampling test at your plant has a specificity of 0.8(80% of good product get positive test results) and

- Homework: - (1) A quality control sampling test at your plant has a specificity of 0.8(80% of good product get positive test results) and a sensitivity of 0.95 ( 95% of bad product get negative test results. You know that 1% of product has quality issues. What is the probability of negative test result for good product? - (2) There are two bowls of cookies. Bowl 1 contains 30 vanilla cookies and 10 chocolate cookies. Bowl 2 contains 20 of each. You choose a bowl at random and then eat a cookie at random. The cookie is vanilla. What is the probability it came from Bowl 1? - (3) A machine produces parts that are 8% defective on average. In a sample of 8 parts, what is the probability of the following number of defects: 0,1,2,3, and >1

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