document.write( "Question 1201217: A binomial experiment with probability of success p=0.73 and n=7 trials is conducted. What is the probability that the experiment results in 6 or more successes? \n" ); document.write( "
Algebra.Com's Answer #835502 by Theo(13342)\"\" \"About 
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p(x) = p^x * q^(n-x) * c(n,x)\r
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\n" ); document.write( "\n" ); document.write( "the sum of all probabilities needs to be 1.\r
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\n" ); document.write( "\n" ); document.write( "in your problem:\r
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\n" ); document.write( "\n" ); document.write( "p = .73
\n" ); document.write( "q = 1 - .73 = .27\r
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\n" ); document.write( "\n" ); document.write( "p(6) = .73^6 * .27^1 * c(7,6) = .2860216877
\n" ); document.write( "p(7) = .73^7 * .27^0 * c(7,7) = .1104739852\r
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\n" ); document.write( "\n" ); document.write( "your solution is the sum of these = .3964956729.\r
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\n" ); document.write( "\n" ); document.write( "c(n,x) is equal to n! / (x! * (n-x)!)\r
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\n" ); document.write( "\n" ); document.write( "for example:
\n" ); document.write( "c(7,6) is equal to 7! / (6! * 1!) = (7 * 6!) / (6! * 1!) = 7\r
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\n" ); document.write( "\n" ); document.write( "here's all the probabilities that i calculated using excel.
\n" ); document.write( "the total probability is 1 as it should be.\r
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