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How to come up with a probability distribution knowing the mean value?

What is the probability that a randomly selected x-value lies between 6 and 10 if the normal distribution has a mean of 8 and a standard deviation of 2?

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The probability that a random x value lies between 6 and 10 if the normal distribution has a mean of 8 and the standard deviation is 2 would be 66%.

Jennifer S.

Sorry, but I wasn't able to find an answer to that probability distribution equation question. However, I did find a probability calculator that may be able to help you out at http://stattrek.com/tools/probabilitycalculator.aspx .

68%. With a standard deviation of 2, the expected result is between 6 and 10 for 68% of the time (one standard deviation from the mean)

James Klein

The probability that a random x value lies between 6 and 10 if the normal distribution has a mean of 8 and the standard deviation is 2 would be 66%.

Jennifer Samuels

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