document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574069>Question 574069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	Approximately 20% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomial distribution.<BR>\n" );
document.write( "a.	What is the probability of finding exactly 5 in the 20 who belong to an HMO?<BR>\n" );
document.write( "b.	What is the probability of finding at least one in the 20 who belongs to an HMO?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368959 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let X = the number belonging to an HMO<BR>\n" );
document.write( "a. P(X = 5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%28+2%2C+1%2C+20%2C+5%29%29%2A%280.2%5E5%29%2A%280.8%5E15%29 ALIGN=MIDDLE  ALT=\"%28matrix%28+2%2C+1%2C+20%2C+5%29%29%2A%280.2%5E5%29%2A%280.8%5E15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            = 0.17456\r<BR>\n" );
document.write( "\n" );
document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3E=1%29+=+1+-+P%28X=0%29 ALIGN=MIDDLE  ALT=\"P%28X%3E=1%29+=+1+-+P%28X=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+%28matrix%28+2%2C+1%2C+20%2C+0%29%29%2A%280.2%5E0%29%2A%280.8%5E20%29 ALIGN=MIDDLE  ALT=\"1+-+%28matrix%28+2%2C+1%2C+20%2C+0%29%29%2A%280.2%5E0%29%2A%280.8%5E20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              = 0.98847<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );