A brewery's filling machine is adjusted to fill bottles with a mean of 34.5 oz. of ale and a variance of 0.004. Periodically, a bottle is checked and the amount of ale noted.
(a) Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 34.58 oz? (Give your answer correct to four decimal places.)

Question

A brewery's filling machine is adjusted to fill bottles with a mean of 34.5 oz. of ale and a variance of 0.004. Periodically, a bottle is checked and the amount of ale noted. 
(a) Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 34.58 oz? (Give your answer correct to four decimal places.)

phi · Answer

Double check your variance.  0.004 would be 20 sigma away....