Boxes Are Labeled as Containing $500 \mathrm {~g}$ Of Cereal the Machine Filling the Boxes Produces Weights That Are

Short Answer

Boxes are labeled as containing $500 \mathrm {~g}$ of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation $12 \mathrm {~g}$ . If the target weight is $500 \mathrm {~g}$ , what is the probability that the machine produces a box with less than $490 \mathrm {~g}$ of cereal? Round your answer to four decimal places.