document.write( "Question 442736: The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. \n" ); document.write( "
Algebra.Com's Answer #305425 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The mean lifetime of a wristwatch is 25 months, with a standard deviation of 5 months. If the distribution is normal, for how many months should a guarantee be made if the manufacturer does not want to exchange more than 10% of the watches? Assume the variable is normally distributed. \n" ); document.write( "---- \n" ); document.write( "Find the z-value with a left tail of 10%. \n" ); document.write( "invNorm(0.1) = -1.2816 \n" ); document.write( "---------------- \n" ); document.write( "Find the corresponding x-value: \n" ); document.write( "x = zs+u \n" ); document.write( "x = -1.2816*5+25 \n" ); document.write( "x = 18.59 months \n" ); document.write( "---------------- \n" ); document.write( "Guarantee them for 18.59 months. Only \n" ); document.write( "10% will have failed by that time. \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |