document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275790>Question 275790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question:<BR>\n" );
document.write( "a) What is the probability that she will get the first three and last two right? <BR>\n" );
document.write( "1/4 x 1/4 x 1/4 x 3/4 x 3/4 x 3/4 x 3/4 x 3/4 x 1/4 x 1/4<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.317428589x10%5E-04 ALIGN=MIDDLE  ALT=\"2.317428589x10%5E-04\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " b) What is the probabilty that she will get any 5 right?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28A%29=n%28A%29%2Fn%28S%29+ ALIGN=MIDDLE  ALT=\"+P%28A%29=n%28A%29%2Fn%28S%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%28A%29=+10C5 ALIGN=MIDDLE  ALT=\"n%28A%29=+10C5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let: n(S)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"5%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%283%2F4%29 ALIGN=MIDDLE  ALT=\"5%5E%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201111 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=201111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question:<BR>\n" );
document.write( "a) What is the probability that she will get the first three and last two right? <BR>\n" );
document.write( "1/4 x 1/4 x 1/4 x 3/4 x 3/4 x 3/4 x 3/4 x 3/4 x 1/4 x 1/4<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.317428589x10%5E-04 ALIGN=MIDDLE  ALT=\"2.317428589x10%5E-04\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " b) What is the probabilty that she will get any 5 right?\r<BR>\n" );
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document.write( "P(x=5) = 10C5*(1/4)^5*(3/4)^5<BR>\n" );
document.write( "= binompdf(10,1/4,5) = 0.0584..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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