document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437698>Question 437698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected...<BR>\n" );
document.write( "a) exactly 2 are taking a math course<BR>\n" );
document.write( "b) at least 4 students are taking a math course<BR>\n" );
document.write( "c) fewer than 4 students are taking a math course </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302805 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=302805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected...<BR>\n" );
document.write( "a) exactly 2 are taking a math course<BR>\n" );
document.write( "P(x= 2) = 5C2(0.4)^2(0.6)^3 = binompdf(5.0.4,2) = 0.3456<BR>\n" );
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document.write( "b) at least 4 students are taking a math course<BR>\n" );
document.write( "P(4<= x<=5) = 1-P(0<= x <=3) = 1-binomcdf(5,0.4,3) = 0.0870 <BR>\n" );
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document.write( "c) fewer than 4 students are taking a math course<BR>\n" );
document.write( "P(0<= x <=4) = binomcdf(5,0.4,4) = 0.9898<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );