document.write( "Question 511397: 1. Suppose we want to determine the (binomial) probability (p) of getting 6 heads in 13 flips of a 2-sided coin. Using Table 2 in Appendix B of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?\r
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document.write( "This is what I think I know:\r
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document.write( "n = 11
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document.write( "x = 6
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document.write( "p = .50q = 1-p = .50\r
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document.write( "I think this is the forumula I use:\r
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document.write( "11/(11-6)6 (.50)^2(.50)^5 =\r
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document.write( "I can't figure out any more or even if what I have done is correct. I need some line for line, number to number detail so I can really learn and understand this please. \n" );
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Algebra.Com's Answer #342195 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suppose we want to determine the (binomial) probability (p) of getting 6 heads in 13 flips of a 2-sided coin. \n" ); document.write( "--- \n" ); document.write( "The 6 heads can show up is 13C6 = 1716 mutually exclusive ways. \n" ); document.write( "--- \n" ); document.write( "Each of those ways has probability (1/2)^6*(1/2)^7 = 1/2^13 = 1/8192 \n" ); document.write( "==== \n" ); document.write( "Because the 1716 ways to succeed are mutually exclusive you should \n" ); document.write( "add all 1716 of those separate probabilities to get the final probability. \n" ); document.write( "------ \n" ); document.write( "You could add but it's easier to just multiply 1716*(1/8192) = 0.2095 \n" ); document.write( "--- \n" ); document.write( "In general, if there are n trials, and the probability of success \n" ); document.write( "on each trial is \"p\", the probability of \"k\" successes is as follows: \n" ); document.write( "P(x = k) = nCk*p^k*q^(n-k) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( "=============== \n" ); document.write( " |