document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347050>Question 347050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 9 out of 12 questions correctly. What is the probability of passing if:<BR>\n" );
document.write( "a. you go into the exam without knowing a thing, and have to resort to pure guessing?<BR>\n" );
document.write( "b. you have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices.<BR>\n" );
document.write( "c. you have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248164 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=248164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 9 out of 12 questions correctly. What is the probability of passing if:<BR>\n" );
document.write( "a. you go into the exam without knowing a thing, and have to resort to pure guessing?<BR>\n" );
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document.write( "Binomial Problem with p = 1/5 and n = 12<BR>\n" );
document.write( "P(9<= x <=12) = 1 - binomcdf(12,1/5,8) = 0.0000623..<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "b. you have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices.<BR>\n" );
document.write( "Binomial Problem with p = 1/2 and n = 12<BR>\n" );
document.write( "P(9<= x <=12) = 1 - binomcdf(12,1/2,8) = 0.0730<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "c. you have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing.<BR>\n" );
document.write( "Binomial: with p = 1/5 and n = 10<BR>\n" );
document.write( "P(7<= x <=10) = 0.0008643....<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" );