document.write( "Question 1146912: In a recent study 35 percent of people surveyed indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of 10 people and ask them to name their favorite ice cream flavor.\r
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Algebra.Com's Answer #768223 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "It is a binomial distribution type problem where the probability under the question is the sum\r\n" );
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document.write( "     P =       (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 = 4, 5, 6, 7, 8, 9, 10.\r\n" );
document.write( "The probability of success trial     p = 0.35;\r\n" );
document.write( "                                     q = 1 - p = 0.65;\r\n" );
document.write( "C(n,k) = n! / (k! * (n-k)!)          are binomial coefficients.\r\n" );
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document.write( "The formula (1) is just a (ready to use) formal mathematical solution, and you may complete calculations manually.\r\n" );
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document.write( "But in nova days the trend is to use TECHNOLOGY for such calculations.\r\n" );
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document.write( "To use the Technology, notice that the sum  (1)  is equal to  1 - .     (2)\r\n" );
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document.write( "Instead of calculating every term of (1) or (2) manually and then summing them up, you may use Excel function \r\n" );
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document.write( "BINOM.DIST(3, 10, 0.35, TRUE)  to calculate the value of    in one click\r\n" );
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document.write( "     = 0.513827.    \r\n" );
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document.write( "Therefore, the value of  (2)  is equal to  1 - 0.513827 = 0.486173 (approximately).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Excel function BINOM.DIST, see its description everywhere, for example\r
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