document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178273>Question 1178273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the number of cars arriving at a busy intersection in a large city has a Poisson distribution with mean 120. Determine a lower bound for the probability that the number of cars arriving in a given 20-minute period will be between 100 and 140 using Chebyshev’s inequality.\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807848 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=807848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming that the mean is for 20 minutes.<BR>\n" );
document.write( "poisson has equal mean and variance, so variance is 120 and sd is sqrt(120)=10.954<BR>\n" );
document.write( "The range is 20 on either side of the mean or 1.826 sd<BR>\n" );
document.write( "The lower bound for the probability the number is in this range  is 1-(1/1.826)^2=0.700.\r<BR>\n" );
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