document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=866735>Question 866735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20% of the population in Turkey is estimated to have green eyes. Out of a random group of 11 people in Turkey, what is the probability that exactly 4 have green eyes?<BR>\n" );
document.write( "Round the percentage to the nearest whole number.\r<BR>\n" );
document.write( "\n" );
document.write( "I got 40 when I did this. Is that correct? If not, how would I solve this type of equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522450 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=522450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You use the formula\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(n C k)*(p)^(k)*(1-p)^(n-k)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: n C k is found through the <a  rel=nofollow HREF=\"http://www.mathwords.com/c/combination_formula.htm\">combination formula</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this case,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "n = 11 (sample size)<BR>\n" );
document.write( "p = 0.2 (probability of success, in this case, probability of picking someone with green eyes)<BR>\n" );
document.write( "k = 4 (number of exact successes you want)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So you'd have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(n C k)*(p)^(k)*(1-p)^(n-k)<BR>\n" );
document.write( "(11 C 4)*(0.2)^(4)*(1-0.2)^(11-4)<BR>\n" );
document.write( "0.1107296256\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You would use a calculator to evaluate to get the last line shown above. That means we'd have a 0.1107296256*100 = 11.07296256% chance of picking exactly 4 people with green eyes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer is actually <font color=\"red\">11%</font> (and not 40%) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );