document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346653>Question 346653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. 	A test consists of 5 questions, and to pass the test a student has to answer at least 4 questions correctly.  Each question has three possible answers, of which only one is correct.  If a student guesses on each question, what is the probability that the student will pass the test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247943 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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/cgi-bin/show-face.mpl?user=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given<BR>\n" );
document.write( "n=5, p=1/3 (prob of guessing correctly at a question)<BR>\n" );
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document.write( "let x=number of questions answered correctly<BR>\n" );
document.write( "passing means x>=4  this is a binomial dist problem<BR>\n" );
document.write( "==<BR>\n" );
document.write( "P(x>=4)=P(x=4)+P(x=5)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%285%2C4%29%281%2F3%29%5E4%282%2F3%29%2BC%285%2C5%29%281%2F3%29%5E5 ALIGN=MIDDLE  ALT=\"C%285%2C4%29%281%2F3%29%5E4%282%2F3%29%2BC%285%2C5%29%281%2F3%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A2%2F%283%29%5E5%2B1%2F%283%29%5E5 ALIGN=MIDDLE  ALT=\"5%2A2%2F%283%29%5E5%2B1%2F%283%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=11/3^5=0.045 </SPAN>\n" );
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