document.write( "Question 1146838: It is found that 60% of American victims of healthcare fraud are senior citizens.
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Algebra.Com's Answer #768133 by ikleyn(52858)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This is a binomial distribution type problem where the probability under the question is the sum\r\n" );
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document.write( "     P = \"sum+%28C%2810%2Ck%29%2Ap%5Ek%2Aq%5E%2810-k%29%2Ck=6%2C10%29\"      (1)\r\n" );
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document.write( "The number of trials is              10;\r\n" );
document.write( "The indexes of success trials        k = 6,7,8,9,10\r\n" );
document.write( "The probability of success trial     p = 0.6;\r\n" );
document.write( "                                     q = 1 - p\r\n" );
document.write( "C(n,k) = n! / (k! * (n-k)!)          are binomial coefficients.\r\n" );
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document.write( "The sum  (1)  is equal to  1 - \"sum%28C%2810%2Ck%29%2Ap%5Ek%2Aq%5E%2810-k%29%2Ck=0%2C5%29\".     (2)\r\n" );
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document.write( "Instead of calculating every term of (2) manually and then summing them up, you may use Excel function \r\n" );
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document.write( "BINOM.DIST(5, 10, 0.6, TRUE)  to calculate the value\r\n" );
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document.write( "    \"sum%28C%2810%2Ck%29%2Ap%5Ek%2Aq%5E%2810-k%29%2Ck=0%2C5%29\" = 0.366897.    \r\n" );
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document.write( "Therefore, the value of  (2)  is equal to  1 - 0.366897 = 0.633103 (approximately).    ANSWER\r\n" );
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