document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880822>Question 880822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose an unfair coin comes up heads 30.9% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: <BR>\n" );
document.write( "a) it comes up heads exactly 9 times?<BR>\n" );
document.write( "b)it comes up tails more than 11 times? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531730 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose an unfair coin comes up heads 30.9% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that:<BR>\n" );
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document.write( "Binomial Problem with p(heads) = 0.309 and p(tails) = 0.691 <BR>\n" );
document.write( "a) it comes up heads exactly 9 times?<BR>\n" );
document.write( "P(x = 9) = 14C9*(0.309)^9*(0.691)^5 = binompdf(14,0.301,9) = 0.0068<BR>\n" );
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document.write( " b)it comes up tails more than 11 times?<BR>\n" );
document.write( "P(12<= x <=14) = 1 - P(0<= x <=11) = 1 - binomcdf(14,0.691,11) = 0.1140<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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