Find the Indicated Percentage for the Normally Distributed Variable

question 31

Multiple Choice

Find the indicated percentage for the normally distributed variable. Round your answer to two decimal places, if necessary.
-Assume that the weights of nickels are normally distributed with a mean of 5.000 grams and a standard deviation of 0.06 grams. A vending machine will reject all coins with weights more than 1 standard deviation above or below the mean. What percentage of legal nickels will be rejected by the machine?

• A)68%
• B)5%
• C)0.3%
• D)32%

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Definitions:

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A philosophy which suggests that actions are right if they are beneficial for the majority, emphasizing the greatest happiness for the greatest number.

Greatest Good

A principle in utilitarian ethics focused on actions that result in the greatest benefit or happiness for the largest number of people.

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A theory proposed by Lawrence Kohlberg that suggests people progress through different stages of moral reasoning as their cognitive abilities mature.