SOLUTION: For a normally distributed variable with a mean of 10 and standard deviation of 5, what is the proportion of the data with negative values? Give your answer as a proportion, roundi

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Question 1024086: For a normally distributed variable with a mean of 10 and standard deviation of 5, what is the proportion of the data with negative values? Give your answer as a proportion, rounding to three decimal places.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
0 is two standard deviations from the mean of 10.
By the empirical rule 5% of the distribution is outside two standard deviations from the mean. Since the negative values would constitute half of the outside 5%, the proportion of data with negative values would be 2.5%, 0.025.