SOLUTION: If you pick four values at random from a normal distribution, what is the probability that all four values will be more than one standard deviation above the mean?

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Question 453265: If you pick four values at random from a normal distribution, what is the probability that all four values will be more than one standard deviation above the mean?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the empirical, or 68-95-99.7 rule, the probability that one value will be more than 1 standard deviation above the mean is %281-0.68%29%2F2+=+0.16. Assuming independence of the values, the probability that all four values will be more than one standard deviation above the mean is 0.16%5E4+=+0.00065536