document.write( "Question 353660: The lifetime of a color television is normally distributed with a mean of 7.8 years and a standard deviation of 3 years. What is the probability that a TV will last more than 10 years? more than 7.8 years? How long should the warranty period be (in years) if they want to replace only 1% of the TVs? \n" ); document.write( "
Algebra.Com's Answer #252776 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the z-score.
\n" ); document.write( "\"z=%28x-mu%29%2Fsigma\"
\n" ); document.write( "\"z=%2810-7.8%29%2F3=0.7333\"
\n" ); document.write( "\"P%28z%29=0.841345\"
\n" ); document.write( "So then
\n" ); document.write( "\"P%28x%3E10%29=1-0.841345=0.158655\"
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\n" ); document.write( "\"z=%287.8-7.8%29%2F3=0\"
\n" ); document.write( "\"P%28z%3E7.8%29=0.5\"
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\n" ); document.write( ".
\n" ); document.write( "\"P%28z1%29=0.01\"
\n" ); document.write( "\"z1=-2.57583\"
\n" ); document.write( "\"x1=-2.57583%283%29%2B7.8\"
\n" ); document.write( "\"x1=0.072512\" years\r
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