document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150212>Question 1150212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thirty percent of students at a large university are known to be short-sighted. If twenty <BR>\n" );
document.write( "Students are picked at random, find the probability that at most two of them are shortsighted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771632 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=771632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> binomial with n=30 and p=0.3<BR>\n" );
document.write( "probability 0 are short sighted is 0.7^30<BR>\n" );
document.write( "probability 1 is short sighted is 30*0.7^29*0.3, The 30 being the number of different ways<BR>\n" );
document.write( "probability of 2 is 30C2*0.7^28*0.3^2<BR>\n" );
document.write( "first is 0.00002<BR>\n" );
document.write( "second is 0.0003<BR>\n" );
document.write( "third is 0.0018<BR>\n" );
document.write( "the probability is 0.0021. Table shows the same.\r<BR>\n" );
document.write( "\n" );
document.write( "expected value is 6<BR>\n" );
document.write( "variance is 4.2 sd is 2.05 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );