document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061876>Question 1061876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On average a certain intersection results in 3 traffic accidents per month. What is the probability that for any given month at this intersection <BR>\n" );
document.write( "(a) exactly 5 accidents will occur? <BR>\n" );
document.write( "(b) less than 3 accidents will occur? <BR>\n" );
document.write( "(c) at least 2 accidents will occur?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676644 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a Poisson probability experiment<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Probability(Pr) (x; u) = e^(-u) * u^x / x!, where x is number of events, e is constant 2.71828 and u is the mean number of events<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) Pr ( 5; 3 ) = 2.71828^(-3) * 3^5 / 5! = 0.101<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) Pr ( X < 3; 3 ) = Pr (0; 3) + Pr (1; 3 ) + Pr (2; 3 ) = 0.423<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(c) Pr ( X >= 2; 3 ) = 1 - (Pr (0; 3) + Pr (1; 3)) = 0.801<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );