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By Law, a Box of Cereal Labeled as Containing 36

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By law, a box of cereal labeled as containing 36 ounces must contain at least 36 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 36 ounces, the machine is set so that the mean fill per box is 36.12 ounces. What percentage of the boxes do, in fact, contain at least 36 ounces?

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Definitions:

Clock Protein

A component of the circadian clocks of organisms, involved in maintaining the biological rhythm according to a 24-hour cycle.

Photoperiodic Response

The physiological reaction of organisms to the length of day or night, affecting processes such as flowering in plants and breeding in animals.

Photoperiodism

The physiological reaction of organisms to the length of day or night, often affecting flowering and reproduction.

Long-day Plant

Plants that flower only after being exposed to light periods longer than a certain critical length.

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