document.write( "Question 627092: if 1% of all calculators are defective, find the mean, variance and standard deviation of a lot of 500 calculators. \r
\n" ); document.write( "\n" ); document.write( "this site NEVER helps me. i found a similar problem already posted but the answer solution makes NO SENSE to me since they do not show or explain any of the steps. i think this site should be taken down unless people give detailed answers because seeing a bunch of fdjsigadfh equations is not helping me at all for statistics... with that said, any help is appreciated. heh
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Algebra.Com's Answer #394668 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Mean:\r
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\n" ); document.write( "\n" ); document.write( "mu = np\r
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\n" ); document.write( "\n" ); document.write( "mu = 500*0.01\r
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\n" ); document.write( "\n" ); document.write( "mu = 5\r
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\n" ); document.write( "\n" ); document.write( "So the mean is 5\r
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\n" ); document.write( "\n" ); document.write( "Variance:\r
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\n" ); document.write( "\n" ); document.write( "sigma^2 = np*(1-p)\r
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\n" ); document.write( "\n" ); document.write( "sigma^2 = 500*0.01*(1-0.01)\r
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\n" ); document.write( "\n" ); document.write( "sigma^2 = 4.95\r
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\n" ); document.write( "\n" ); document.write( "So the variance is 4.95\r
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\n" ); document.write( "\n" ); document.write( "Standard Deviation:\r
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\n" ); document.write( "\n" ); document.write( "sigma = sqrt(np*(1-p))\r
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\n" ); document.write( "\n" ); document.write( "sigma = sqrt(500*0.01*(1-0.01))\r
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\n" ); document.write( "\n" ); document.write( "sigma = 2.2248595\r
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\n" ); document.write( "\n" ); document.write( "So the variance is roughly 2.2248595\r
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\n" ); document.write( "\n" ); document.write( "Note: the standard deviation is the square root of the variance.
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