Soft Drink Cans

The amount of soft drink that goes into a typical 355 ml can varies from can to

can. It is normally distributed with an adjustable mean µ and a fixed standard deviation of 0.4 ml. (The adjustment is made to the filling machine.)

a) If the regulations require that 99.25% of the cans have at least 355

ml, what is the smallest mean µ that can be used to meet the regulations (to 2

decimal places)?

b) If the mean setting from part a) is used, what is the probability that a typical

can will have at least 357 ml (to 2 decimal places)?

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