By Law, a Box of Cereal Labeled as Containing 32

Essay

By law, a box of cereal labeled as containing 32 ounces must contain at least 32 ounces of
cereal. The machine filling the boxes produces a distribution of fill weights that is
mound-shaped and symmetric, with a mean equal to the setting on the machine and with
a standard deviation equal to 0.04 ounce. To ensure that most of the boxes contain at least
32 ounces, the machine is set so that the mean fill per box is 32.12 ounces. What percentage
of the boxes do, in fact, contain at least 32 ounces?