document.write( "Question 316509: The XYZ Company tested a new product and found its lifetime to be normally distributed, with a mean life of 146 days and a standard deviation of 19.5 days. What is the probability that a product selected at random will last longer than 166 days?
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Algebra.Com's Answer #226412 by Fombitz(32388) $\"\"$ $\"About$

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Find the zscore.
\n" ); document.write( " $\"z=%28x-mu%29%2Fsigma=%28166-146%29%2F19.5\"$
\n" ); document.write( " $\"z=1.026\"$
\n" ); document.write( " $\"P%281.026%29=0.84747\"$
\n" ); document.write( "The probability is for $\"x%3C=166\"$
\n" ); document.write( "P( $\"x%3C=166\"$ )+P( $\"x%3E166\"$ )=1
\n" ); document.write( "P( $\"x%3E166\"$ )=1-P( $\"x%3C=166\"$ )
\n" ); document.write( "P( $\"x%3E166\"$ )=1-0.84747
\n" ); document.write( "P( $\"x%3E166\"$ )=0.15253\r
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