document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206327>Question 1206327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quiz consists of 20 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843693 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "As the other tutor points out, BinomDist is a great spreadsheet function to use. <BR>\n" );
document.write( "You can generate a table as indicated and add up the values using the Sum command. Manually adding the values would be fairly tedious busy-work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A quicker shortcut would be to use the cumulative flag of the BinomDist function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The cumulative flag is the value of L at the end in the template<BR>\n" );
document.write( "BinomDist(k, n, p, L)<BR>\n" );
document.write( "If L = 0, then it computes an individual binomial value.<BR>\n" );
document.write( "If L = 1, then it computes a cumulative sum\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Typing in <font color=blue>=BinomDist(13,20,0.25,1)</font> will compute the binomial sum from k = 1 to k = 13.<BR>\n" );
document.write( "The result of this calculation is approximately 0.999970488<BR>\n" );
document.write( "Subtract this from 1 to determine the sum from k = 14 to k = 20.<BR>\n" );
document.write( "1 - 0.999970488 = <font color=red>0.000029512</font><BR>\n" );
document.write( "Round this however instructed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Side note: if your spreadsheet displays 2.9512E-05, or something along those lines, it means 2.9512 * 10^(-5). Then the -5 exponent moves the decimal point 5 spots to the left to arrive at 0.000029512<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );