document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137564>Question 137564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are eight people in an office. Each shows independently for a picture with probability 0.8. Let X denote the number that shows. This is a biomial problem. <BR>\n" );
document.write( "  What is the probability that only one shows?<BR>\n" );
document.write( "  What is the probability that everyone shows?<BR>\n" );
document.write( "  What is the brobability that two or more show? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100631 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=100631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are eight people in an office. Each shows independently for a picture with probability 0.8. Let X denote the number that shows. This is a binomial problem. <BR>\n" );
document.write( "  probability that only one shows?: P(x=1)=8C1(0.8)(0.2)^7 = 0.00008192<BR>\n" );
document.write( "  probability that everyone shows?: P(x=8)=8C8(0.8)^8(0.2)^0 = 0.1678<BR>\n" );
document.write( "  probability that two or more show?P(2<=x<=8)= 1-[prob(x=0)+p(x=1)]= 0.9999<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );