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

question 98

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.

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Definitions:

Debtor's Property

Assets or properties owned by an individual or entity that owes money to creditors.

Mechanic

A skilled worker who repairs and maintains machinery, equipment, or vehicles.

Music Room

A dedicated space designed for the practice, composition, and enjoyment of music, often equipped with musical instruments and sound-proofing.

Lien

A legal right or claim against a property by a creditor, securing the payment of a debt or the performance of some obligation.