document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000735>Question 1000735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of boating accidents on lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, find the probability that there will be 6 accidents  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618082 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=618082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lambda=np=1000(0.003)=3<BR>\n" );
document.write( "the general probability is<BR>\n" );
document.write( "P=exp (-lambda) lambda^x/x!<BR>\n" );
document.write( "This would be<BR>\n" );
document.write( "exp (-3)(3)^6/6!<BR>\n" );
document.write( "=0.0504.<BR>\n" );
document.write( "This makes intuitive sense, as the expected value is significantly lower.<BR>\n" );
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