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A bottling line at a small manufacturer fills 12 -ounce cans with a beverage. The label on the can states 12 oz ( 355 ml

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A bottling line at a small manufacturer fills 12 -ounce cans with a beverage. The label on the can states 12 oz ( 355 ml ). The maximum volume of the can is 362ml. The mean number of milliliters placed in a can by an automatic fill pump is 359ml with a standard deviation of 1.3ml. Each filled can is 100% inspected by a vision camera system and a weight checker. Assuming a normal distribution, answer the following questions and show your work. a. Determine the probability that the filling pump will cause an overflow in a can, that is, the probability that more than 362ml will be released by the pump and overflow the can b. Determine the probability that the filling pump will cause an under fill in a can, that is, the probability that less than 355 will be released by the pump c. What are your conclusions and suggestions given results and information

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