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

question 9

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:

Positive Adjustment

The process of adapting effectively to circumstances or life changes in a way that maintains or promotes well-being.

Secure Attachment

The attachment pattern in which an infant uses the caregiver as a secure base from which to explore, seeks contact during reunions, and is easily comforted by the caregiver.

Adolescent Pregnancy

Pregnancy that occurs in a female individual who is in the adolescent stage of development, typically between the ages of 13 and 19.

Sexually Transmitted Infection

A type of infection transmitted through sexual contact, caused by bacteria, viruses, or parasites.