document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260745>Question 260745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man claims to be able to distinguish between scotch & bourbon 80% of the time. A test of 15 samples is given to him and, if he is correct at least 12 times, he proves his claim. What is the probability his claim is justified, but he does not pass?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192086 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=192086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets assume that <BR>\n" );
document.write( "P(scotch) = .50<BR>\n" );
document.write( "P(bourbon) = .50<BR>\n" );
document.write( "We have a binomial distribution here:<BR>\n" );
document.write( "P(correct at least 12): (15c12)*(.5^12)(.5^3) +(15c13)*(.5^13)(.5^2) + (15c14)*(.5^14)(.5^1) + (15c15)*(.5^15)(.5^0)<BR>\n" );
document.write( "P(correct at least 12) ~ .017578 </SPAN>\n" );
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