Assume that in order to satisfy legal requirements, a meat pie manufacturer might only produce 0.2% of pies below weight of 750 grams. Suppose the manufacturer precisely meets this requirement and that the weight of all pies is Normally distributed. Given Standard Deviation weight of all pies is 50 grams, determine the mean weight of all pies?
Now suppose that the standard deviation accidentally increases from 50 to 100 grams. What percent of pies now fall below 750 grams?