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.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Transcribed Image Text: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.
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