document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670370>Question 670370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a student is taking a multiple choice exam in whihc each question has 4 choices. there are 5 multiple choice questions on the exam. What is the probability that she will get:<BR>\n" );
document.write( "1) 5 questions correct<BR>\n" );
document.write( "2) At least four questions correct<BR>\n" );
document.write( "3) no questions correct<BR>\n" );
document.write( "4) no more than two 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 #416938 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=416938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a student is taking a multiple choice exam in whihc each question has 4 choices. there are 5 multiple choice questions on the exam. What is the probability that she will get:<BR>\n" );
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document.write( "Binomial Problems with n = 5 ; p(correct) = 1/4 ; p(wrong) = 3/4<BR>\n" );
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document.write( "1) 5 questions correct<BR>\n" );
document.write( "Ans: (1/4)^5 = 0.0009766<BR>\n" );
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document.write( "2) At least four questions correct<BR>\n" );
document.write( "Ans: P(4<= x <=5) = 1- p(0<= x <= 3) = 1 - binomcdf(5,1/4,3) = 0.0156<BR>\n" );
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document.write( "3) no questions correct<BR>\n" );
document.write( "Ans: (3/4)^5 = 0.2373<BR>\n" );
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document.write( "4) no more than two questions correct?<BR>\n" );
document.write( "P(0<= x <=2) = binomcdf(5,1/4,2) = 0.8965<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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