document.write( "Question 165389: Suppose 500 coins are tossed. Using the normal curve approximation to the binomial distribution, find the probability of getting 251 heads or less. \n" ); document.write( "
Algebra.Com's Answer #121902 by Edwin McCravy(20059)\"\" \"About 
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Suppose 500 coins are tossed. Using the normal curve approximation to the binomial distribution, find the probability of getting 251 heads or less.
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document.write( "n = 500, \r\n" );
document.write( "p = .5,\r\n" );
document.write( "q = 1-.5 = .5,\r\n" );
document.write( "x = 251.5 \r\n" );
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document.write( "(Since it included 251 we add .5, if it had not\r\n" );
document.write( " included 251 we would have subtracted .5)\r\n" );
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document.write( "\"mu=np=%28500%29%28.5%29=250\"\r\n" );
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document.write( "\"sigma=sqrt%28npq%29=sqrt%28%28500%29%280.5%29%280.5%29%29=sqrt%28125%29=11.18034\"\r\n" );
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document.write( "\"z=%28x-mu%29%2Fsigma+=+%28251.5-250%29%2F11.18034=1.5%2F11.18034=0.1331\"\r\n" );
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document.write( "So look up 0.13 in a standard normal table.\r\n" );
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document.write( "There are two kinds of tables.\r\n" );
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document.write( "In one kind of table you will read 0.0517 and you have to add .5\r\n" );
document.write( "to get 0.5517.\r\n" );
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document.write( "In the other kind of table you will get 0.5517 directly.\r\n" );
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document.write( "Edwin
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