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The average age of vehicles registered in the United States is 96 months. Assume the population is normally distributed with a standard deviation of 15

The average age of vehicles registered in the United States is 96 months. Assume the population is normally distributed with a standard deviation of 15 months. Find the probability that the mean age of a sample of 36 vehicles differs from the population mean by more than 8 months.

Do not round any numbers while calculating.

Answer to nearest ten-thousandth (4 decimal places)

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