document.write( "Question 1203054: Dr. Zivkov has developed a new procedure that he believes can correct a life-threatening medical condition. If the success rate for this procedure is 40 % and the procedure is tried on 8 patients, what is the probability that at least 2 of them will show improvement?\r
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Algebra.Com's Answer #838304 by ikleyn(52908) $\"\"$ $\"About$

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\n" ); document.write( "Dr. Zivkov has developed a new procedure that $\"highlight%28cross%28he%29%29\"$ $\"highlight%28cross%28believes%29%29\"$ can correct a life-threatening
\n" ); document.write( "medical condition. If the success rate for this procedure is 40 % and the procedure is
\n" ); document.write( "tried on 8 patients, what is the probability that at least 2 of them will show improvement?
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document.write( "It is a typical problem on binomial distribution probability.\r\n" );
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document.write( "The number of trials is n= 8; \r\n" );
document.write( "the probability of success of each individual trial is p= 0.4;\r\n" );
document.write( "the successful trials indexes are 2 or 3 or 4 or 5 or 6 or 7 or 8 patients\r\n" );
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document.write( "    So,  P = P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8).\r\n" );
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document.write( "Having so many calculations to do, it is better (more economic and more efficient way) \r\n" );
document.write( "to transform the formula equivalently\r\n" );
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document.write( "      P = 1 - P(0) - P(1) =  = \r\n" );
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document.write( "        =  = 0.8936  (rounded).    ANSWER\r\n" );
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