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?

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) (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 . Assuming independence of the values, the probability that all four values will be more than one standard deviation above the mean is
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