document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #311451 by robertb(5830) $\"\"$ $\"About$

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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 $\"0.16%5E4+=+0.00065536\"$ \n" ); document.write( "

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