document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008087>Question 1008087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A history quiz had 8 multiple choice questions.  Each question has 4 answer choices.  A student has forgotten that the quiz was to tale place and guesses at all of the answers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a) Find the probability that the student gets exactly 5 of the 8 questions correct.\r<BR>\n" );
document.write( "\n" );
document.write( "b) Find the probability that the student gets at least 6 questions correct. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623833 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=623833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A history quiz had 8 multiple choice questions. Each question has 4 answer choices. A student has forgotten that the quiz was to tale place and guesses at all of the answers.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Binomial Problems with n = 8 and P(correct) = 1/4<BR>\n" );
document.write( "---------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "a) Find the probability that the student gets exactly 5 of the 8 questions correct.<BR>\n" );
document.write( "P(x = 5) = 8C5*(1/4)^5*(3/4)^3 = binompdf(8,1/4,5) = 0.0231<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "b) Find the probability that the student gets at least 6 questions correct.<BR>\n" );
document.write( "P(6<= x <=8) = 1 - binomcdf(8,1/4,5) = 0.0042<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );