Yet another time, you find yourself the quality control manager for the Acme Widget Company. You are concerned about the number of defective widgets being produced by one of your factories. (a) You have determined that the number of defective widgets pro- duced per day by your factory has a mean of 10. You claim that the probability that your factory produces 15 or more de- fective widgets per day is less than or equal to 0.5. Is this claim justified? Explain your answer mathematically. (b) You have have determined that the number of defective widgets produced per day by your factory is approximately a normal distribution with mean 10 and variance 5. You claim that the probability that your factory produces 15 or more defective wid- gets per day is less than or equal to 0.02. Is this claim justified? Explain your answer mathematically.

Yet another time, you find yourself the quality control manager for the Acme Widget Company. You are concerned about the number of defective widgets being produced by one of your factories. (a) You have determined that the number of defective widgets pro- duced per day by your factory has a mean of 10. You claim that the probability that your factory produces 15 or more de- fective widgets per day is less than or equal to 0.5. Is this claim justified? Explain your answer mathematically. (b) You have have determined that the number of defective widgets produced per day by your factory is approximately a normal distribution with mean 10 and variance 5. You claim that the probability that your factory produces 15 or more defective wid- gets per day is less than or equal to 0.02. Is this claim justified? Explain your answer mathematically.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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