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Cereal is sold by weight not volume. This introduces variability in the volume due to settling. As such, the height to which a cereal box is filled is random.

If the heights for a certain type of cereal and box have a normal(12,0.5) distribution in units of inches, what is the chance that a randomly chosen cereal box has a height of 10.7 inches or less?

Statistics and Probability, Statistics

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