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2. A certain factory manufactures parts with an unknown defect rate of p. Inspectors take a small sample of parts and find a total of

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2. A certain factory manufactures parts with an unknown defect rate of p. Inspectors take a small sample of parts and find a total of 2 defective parts and 8 working parts. (a) What is the Beta distribution that you would use to model p, the true defect rate? (b) Using the distribution you found, find P(.15

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