A brewery's filling machine is adjusted to fill bottles with the mean of 31.2 oz. of ale and variance of 0.004. Periodically, a bottle is checked and amount of ale noted.
Supposing the amount of fill is normally distributed, determine the probability that the next randomly checked bottle contains more than 31.30 oz? (Give your answer correct to four decimal places.)
Let's say you buy 105 bottles of this ale for party. How many bottles would you expect to find out containing more than 31.30 oz. of ale? (Round your answer up to the nearest whole number.)
Incorrect: Your answer is incorrect. bottles