document.write( "Question 1146910: It is asserted that 90 percent of the cars approaching an individual toll both in New Jersey are equipped with an E-Z pass transponder. Find the probability that in a 6 car sample.\r
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Algebra.Com's Answer #768200 by ikleyn(52879) $\"\"$ $\"About$

You can put this solution on YOUR website!
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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              6;\r\n" );
document.write( "The indexes of success trials        k = 3, 4, 5, 6.\r\n" );
document.write( "The probability of success trial     p = 0.9;\r\n" );
document.write( "                                     q = 1 - p = 0.1;\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(2, 6, 0.9, TRUE)  to calculate the value of    in one click\r\n" );
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document.write( "     = 0.00127.    \r\n" );
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document.write( "Therefore, the value of  (2)  is equal to  1 - 0.00127 = 0.99873 (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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