document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423704>Question 423704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 70% OF THE STUDENT BODY OF A very large post secondary institution is female. in a random sample of 12 students what is the probability that<BR>\n" );
document.write( "a)at most half will be females?<BR>\n" );
document.write( "b) more than 7 will be femels?<BR>\n" );
document.write( "c) fewer than 3 will be males </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295435 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=295435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 70% OF THE STUDENT BODY OF A very large post secondary institution is female. in a random sample of 12 students what is the probability that<BR>\n" );
document.write( "a)at most half will be females?<BR>\n" );
document.write( "P(0<= x <=6) = 12C6(0.7)^6*(0.3)^6 = binompdf(12,0.7.6) = 0.0792<BR>\n" );
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document.write( "b) more than 7 will be females?<BR>\n" );
document.write( "P(7<= x <=12) = 1-answer to part a = 1-0.0792 = 0.9208<BR>\n" );
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document.write( "c) fewer than 3 will be males<BR>\n" );
document.write( "P(0<= x <=2) = 12C3(0.3)^3*(0.7)^9 = 0.1678<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );