The volume of a shampoo filled into a container is uniformly distributed between 374 and 380 milliliters.

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The volume of a shampoo filled into a container is uniformly distributed between 374 and 380 milliliters.

(a) What are the mean and standard deviation of the volume of shampoo?

(b) What is the probability that the container is filled with less than the advertised target of 375 milliliters?

(c) What is the volume of shampoo that is exceeded by 95% of the containers?

(d) Every milliliter of shampoo costs the producer $0.002. Any shampoo more than 375 milliliters in the container is an extra cost to the producer. What is the mean extra cost?

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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