document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151871>Question 1151871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel  -  Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Using a retrospective consecutive case series review, the researchers found that the number of RCH tumor incidents followed a Poisson distribution with λ = 3 tumors per eye for patients with VHL. Using this model, find the probability that in a randomly selected patient with VHL:<BR>\n" );
document.write( "a.	There are exactly four occurrences of tumors per eye.<BR>\n" );
document.write( "b.	There are more than four occurrences of tumors per eye.<BR>\n" );
document.write( "c.	There are fewer than four occurrences of tumors per eye.<BR>\n" );
document.write( "d.	There are between four and six occurrences of tumors per eye, inclusive<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773746 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=773746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(4)=e^(-3)*3^4/4! so probability is 0.1680\r<BR>\n" );
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document.write( "p(6)=0.0504<BR>\n" );
document.write( "p(5)=0.1008<BR>\n" );
document.write( "so between 4 and 6 inclusive is the sum of the 3 or 0.3189\r<BR>\n" );
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document.write( "p(3) is 0.2240<BR>\n" );
document.write( "p(2) is 0.2240<BR>\n" );
document.write( "p(1) is 0.1494<BR>\n" );
document.write( "p(0) is 0.0498<BR>\n" );
document.write( " more than 4 is 1-p(0,1,2,3,4)=1-0.8152=0.1848 ANSWER\r<BR>\n" );
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document.write( "fewer than 4 is P(0,1,2,3)=0.6472\r<BR>\n" );
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