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Snack Food Companies Always Have a Target Weight When Filling

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Snack food companies always have a target weight when filling a box of snack crackers. It is not possible, however, to always fill boxes to the exact target weight. For a particular box of crackers, the target weight is 14 ounces. The filling machine drops between 13.5 and 15 ounces of crackers into each box. If these weights are uniformly distributed, what is the expected value of the fill weights? Does this value match the target weight? If not, what impact does this difference have on the manufacturer's costs to produce these crackers?


Definitions:

Remarriage

The act of marrying again after a divorce or the death of a spouse.

Socioeconomic level

A categorization of individuals or groups based on their economic and social position in relation to others, determined by factors like income, education, and occupation.

Race/ethnicity

Categories that distinguish people in terms of physical characteristics, ancestry, historical affiliations, or shared culture.

Remarry

The act of getting married again following a divorce or the death of one's spouse.

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