document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830760>Question 830760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you flip a coin 8 times what is the probability of landing on head 6 times? </SPAN>\n" );
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document.write( "If you flip a coin 8 times what is the probability of landing on head 6 times?<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "If X ~ Binomial(n, p), then<BR>\n" );
document.write( "P(X = x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2Cn%2Cx%29%29%28p%5Ex%29%28%281-p%29%5E%28n-x%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2Cn%2Cx%29%29%28p%5Ex%29%28%281-p%29%5E%28n-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x = 0,1,2...,n.<BR>\n" );
document.write( "Given: n = 8, p = 1/2 (assuming the coin is fair), and x = 6.<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "P(X = 6) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C8%2C6%29%29%281%2F2%29%5E6%281%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C8%2C6%29%29%281%2F2%29%5E6%281%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F64 ALIGN=MIDDLE  ALT=\"7%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.109375%29 ALIGN=MIDDLE  ALT=\"highlight%280.109375%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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