The amount of a soft drink that goes into a typical 12-ounce can varies from can to can. It is normally distributed with an adjustable mean μ and a fixed standard deviation of 0.05 ounce. (The adjustment is made to the filling machine.)
a. If regulations require that cans have at least 11.9 ounces, what is the smallest mean μ that can be used so that at least 99.5% of all cans meet the regulation?
b. If the mean setting from part a is used, what is the probability that a typical can has at least 12 ounces?