document.write( "Question 328703: A drug is known to be 80% effective in curing a certain disease. If four people with the disease are to be given the drug, the probability that more than two will be cured is: \n" ); document.write( "
Algebra.Com's Answer #235478 by Edwin McCravy(20060)\"\" \"About 
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A drug is known to be 80% effective in curing a certain disease. If four people with the disease are to be given the drug, the probability that more than two will be cured is:
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document.write( "The binomial probability of exactly x successes in n independent trials, when\r\n" );
document.write( "the probability of exactly one success in one trial is p, is given by:\r\n" );
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document.write( "\"%28matrix%282%2C1%2Cn%2Cx%29%29%28p%29%5Ex%2A%281-p%29%5E%28n-x%29\"\r\n" );
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document.write( "Here there are n trials so n = 4.  The probability of one success (cure) in 1\r\n" );
document.write( "trial is .8, so p=.8\r\n" );
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document.write( "\"More than two\" means \"three or four\", and \"or\" means to add, so\r\n" );
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document.write( "the probability of 3 or 4 being cured is\r\n" );
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document.write( "\"%28matrix%282%2C1%2C4%2C3%29%29%280.8%29%5E3%281-0.8%29%5E1\"\"%22%22%2B%22%22\"\"%28matrix%282%2C1%2C4%2C4%29%29%280.8%29%5E4%281-0.8%29%5E0\"\r\n" );
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document.write( "\"4%21%2F3%21%284-3%29%21\"\"%280.8%29%5E3%28.2%29\"\"%22%22%2B%22%22\"\"4%21%2F4%21%284-4%29%21\"\"%280.8%29%5E4%281%29\"\r\n" );
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document.write( "\"4%21%2F3%211%21\"\"%28.512%29%28.2%29\"\"%22%22%2B%22%22\"\"4%21%2F4%210%21\"\".4096\"\r\n" );
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document.write( "\"4%2A3%2A2%2A1%2F3%2A2%2A1%2A1\"\".1024\"\"%22%22%2B%22%22\"\"4%2A3%2A2%2A1%2F4%2A3%2A2%2A1%2A1\"\".4096\"\r\n" );
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document.write( "\"4%2Across%283%29%2Across%282%29%2A1%2Fcross%283%29%2Across%282%29%2A1%2A1\"\".1024\"\"%22%22%2B%22%22\"\".4096\"\r\n" );
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document.write( "\"4%2A.1024\"\"%22%22%2B%22%22\"\".4096\"\r\n" );
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document.write( "\".4086\"\"%22%22%2B%22%22\"\".4086\"\r\n" );
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document.write( ".8192\r\n" );
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document.write( "You can also find that in the binomial table in your book\r\n" );
document.write( "with n = 4 and p = .8\r\n" );
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document.write( "Or if you have a TI-83 or TI-84 calculator\r\n" );
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document.write( "On the calculator you have to consider the complement event as\r\n" );
document.write( "1 - probability that 2 or fewer will be cured:\r\n" );
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document.write( "Press ON\r\n" );
document.write( "Press CLEAR\r\n" );
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document.write( "Type 1-\r\n" );
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document.write( "Press 2ND\r\n" );
document.write( "Press VARS\r\n" );
document.write( "Press ALPHA\r\n" );
document.write( "Press APPS\r\n" );
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document.write( "You should see this -->    1-binomcdf(   \r\n" );
document.write( "followed by a blinking cursor.\r\n" );
document.write( "After the parenthesis type this -->  4,.8,2)\r\n" );
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document.write( "You should see this -->    1-binomcdf(4,.8,\r\n" );
document.write( "                           2)\r\n" );
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document.write( "Press ENTER\r\n" );
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document.write( "You should see the answer .8192\r\n" );
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document.write( "Edwin
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