document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127172>Question 1127172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The pass rate in a statistics test for a class of MBA students is 65%. If five students are randomly selected from the class, determine the probability that at least two students passed 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 #743551 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find probability one did and none did and subtract from 1<BR>\n" );
document.write( "probability none did was .35^5 or 0.0053<BR>\n" );
document.write( "probability one did was 5*.35^4*.65, since there are 5 ways it can happen, and that is 0.0488<BR>\n" );
document.write( "Their sum is 0.0541<BR>\n" );
document.write( "The probability at least two passed is 1-0.0541 or 0.9459.\r<BR>\n" );
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document.write( "Expected value is .65*5 or 3.25, with sd of sqrt( 3.25*.35) or 1.07, so this answer is reasonable. </SPAN>\n" );
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