document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100385>Question 1100385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car manufacturer is concerned about a fault in the braking mechanism of one of the models they released. The fault can on rare instances cause a catastrophe at high speed.  Assume that the distribution of the number of cars per year that will experience the fault is a Poisson random variable with mean 5.\r<BR>\n" );
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document.write( "(Enter your answers as fractions in simplest form or as decimals rounded to four decimal places.)\r<BR>\n" );
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document.write( "a. What is the probability that at most 5 cars per year will experience a catastrophe?\r<BR>\n" );
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document.write( "b. What is the probability that more than 2 cars per year will experience a catastrophe? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714903 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=714903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at 0 to 5<BR>\n" );
document.write( "e^(-5)*5^0/0!=0.0067<BR>\n" );
document.write( "e^(-5)*5=0.0337<BR>\n" );
document.write( "e^(-5)*5^2/2=0.0842<BR>\n" );
document.write( "e^(-5)*125/6=0.1404<BR>\n" );
document.write( "e^(-5)*625/24=0.1755<BR>\n" );
document.write( "e^(-5)*3125/120=0.1755<BR>\n" );
document.write( "a.  At most 5 is the sum 0.6150<BR>\n" );
document.write( "b.  More than 2 is 1- 2 or fewer or 1-0.1246=0.8754 </SPAN>\n" );
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