document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168116>Question 1168116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An applicant must score at least 80 points on a particular psychological test to be eligible to join Canadian University services overseas. From several years of experience, it is known that 60% of the applicants meet the requirement. Let the random variable x be the number of applicants who meet this requirement out of a (randomly selected) group of 25 applicants.<BR>\n" );
document.write( "a)find the mean of x<BR>\n" );
document.write( "b) Find the standard deviation of x<BR>\n" );
document.write( "c) using the Empirical Rule, within what limit would you expect most (say, 95%) of the measurements to be?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792801 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=792801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is np or 25*0.60=15<BR>\n" );
document.write( "variance is np(1-p) or 15*0.4=6<BR>\n" );
document.write( "sd is sqrt (V)=2.45 <BR>\n" );
document.write( "empirical rule for 95% is +/- 2 sd or +/- 4.9<BR>\n" );
document.write( "(5.2, 24.8) </SPAN>\n" );
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