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Probability and Z-score Calculations

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Tony Soprano and his "weasily" nephew Christopher were scheming on how they can rip off people through their waste management company. One of the ideas they are contemplating is giving everyone a much larger garbage can so they can charge higher rates. After all, the more garbage they pick up the more they can charge. Tony and Christopher examined the following data:

Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of a house generating MORE than 30.2 pounds per month.

Will Tony and Christopher be justified in providing a larger garbage can to their customers based on this probability?

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Solution Summary

This solution provides calculations for probability and z-scores.

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Here is the solution...

First we have to find the z value.

The z value for 30.2 is z = ...

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