Question

A soda dispenser can be adjusted to deliver any fixed number of ounces of soft drink....

A soda dispenser can be adjusted to deliver any fixed number of ounces of soft drink. If the machine is operating with a standard deviation in delivery equal to 0.25 ounces, what should be the mean setting so that a 12-ounce cup will overflow less than 95% of the time? Assume a normal distribution for ounces delivered.

please explain why each formula is used and its proper notation

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