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Mathematics, 25.03.2020 00:00 lexiepedit4958

The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable.

a. Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled?
b. Where should the mean be set to ensure a 99 percent probability that a half-liter bottle will not be underfilled?
c. Where should the mean be set to ensure a 99.9 percent probability that a half-liter bottle will not be underfilled?

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