document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300281>Question 300281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``At a college, 6 out of 8 students are sophomores. If 9 students are surveyed, find a) the mean b) the variance c)the standard deviation d) the probability that exactly 3 of the 9 are sophomores e) the probability that at most 3 are sophomores f) the probability that at least 5 are sophomores?\r<BR>\n" );
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document.write( "I am very pressed for time I have to hand in my assignment today at 2pm can someone please help me out? i really appreciate it.''. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215490 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=215490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At a college, 6 out of 8 students are sophomores.<BR>\n" );
document.write( "P(soph) = 6/8 = 3/4<BR>\n" );
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document.write( "If 9 students are surveyed, find <BR>\n" );
document.write( "a) the mean = np = 9(3/4) = 27/4<BR>\n" );
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document.write( "b) the variance = npq = (27/4)(1/4) = 27/16<BR>\n" );
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document.write( "c)the standard deviation = sqrt(npq) = (3/4)sqrt(3)<BR>\n" );
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document.write( "d) the probability that exactly 3 of the 9 are sophomores<BR>\n" );
document.write( "binompdf(9,3/4,3) = 0.0087<BR>\n" );
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document.write( "e) the probability that at most 3 are sophomores <BR>\n" );
document.write( "binomcdf(9,3/4,3) = 0.0100<BR>\n" );
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document.write( "f) the probability that at least 5 are sophomores?<BR>\n" );
document.write( "1 - binomcdf(9,3/4,4) = 0.9511<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
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