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Symmetric Property of Normal Distribution

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An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is known to be normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.

Between what two values (in ounces) symmetrically distributed around the population mean will 80% of the apples fall?

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Solution Summary

The solution uses the symmetric property of normal distribution to determine the two values that 80% of the apples will fall.

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Using the symmetric property of normal distribution, two values are symmetrically distributed around the population mean will 80% of the apples fall means that there are values -z and z such that P(x < -z) = 10% and P(x > ...

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