document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137808>Question 137808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student takes a 10 question multiple choice test (each with four options, A-D) without studying or attending class. He plans to guess. A score of 6 out of 10 is needed to pass, 8 out of 10 for high pass.<BR>\n" );
document.write( "a. What are his chances of passing by guessing?<BR>\n" );
document.write( "b. What are his chances of a high pass just by guessing?<BR>\n" );
document.write( "c. Should he manage to pass, how likely would it be a high pass? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100758 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=100758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student takes a 10 question multiple choice test (each with four options, A-D) without studying or attending class. He plans to guess.<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "A score of 6 out of 10 is needed to pass, <BR>\n" );
document.write( "8 out of 10 for high pass.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "It is a binomial problem with p = 1/4, n=10<BR>\n" );
document.write( "a. chances of passing by guessing? P(x>=6) = 1-binomcdf(10,0.25,5)=0.01928<BR>\n" );
document.write( "b. chances of a high pass just by guessing?= 1-binomcdf(10,0.25,7)=0.0004158..<BR>\n" );
document.write( "c. Should he manage to pass, how likely would it be a high pass?<BR>\n" );
document.write( "P(high pass| pass) = P(high pass AND Pass)/P(pass)=0.0004158/0.01928=0.02157<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );