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Statistics Homework Solutions 43

Statistics Homework Solutions 43 - 43 SUPPLEMENTARY...

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SUPPLEMENTARY EXERCISES FOR CHAPTER 2 43 P C D P C P D P C D P C P D P C P D 0 95 0 7 0 95 0 7 0 985. P A B C D P A B P C D P A B P C D 0 98 0 985 0 98 0 985 0 9997. 3. Let A denote the event that the resistance is above specification, and let B denote the event that the resistance is below specification. Then A and B are mutually exclusive. (a) P (doesn’t meet specification) = P A B P A P B 0 05 0 10 0 15 (b) P B A B P B A B P A B P B P A B 0 10 0 15 0 6667 5. Let R be the event that the shipment is returned. Let D 1 be the event that the first fuse chosen is defective, let D 2 be the event that the second fuse chosen is defective, and let D 3 be the event that the third fuse chosen is defective. Since the sample size of 3 is a small proportion of the population size of 10,000, it is reasonable to treat these events as independent, each with probability 0.1. P R 1 P R c 1 P D c 1 D c 2 D c 3 1 0 9 3 0 271. (If dependence is taken into account, the answer to six significant digits is 0.271024.)
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