document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602061>Question 602061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 5 dozen heads of lettuce. There are eight spoiled heads in the box. A person chooses a dozen heads at random.<BR>\n" );
document.write( "a) What is the expected number of spoiled heads that will be chosen?<BR>\n" );
document.write( "b) What is the probability that he did not choose any of the spoiled heads? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380094 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=380094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "expected number of spoiled heads = np = 12*(8/60) = 96/60 = 8/5 = 1.6\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "b)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(No spoiled heads) = (1-p)^x = (1-8/60)^12 = 0.17956 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );