document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130849>Question 1130849</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 7.\r<BR>\n" );
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document.write( "(Please enter your answer 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 3 cars per year will experience a catastrophe? <BR>\n" );
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document.write( "b. What is the probability that more than 3 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 #747521 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=747521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the probability of 0, 1,2,and 3<BR>\n" );
document.write( "for 0, e^(-7)*7^0.0!=0.0009<BR>\n" );
document.write( "for 1, it is that number *7^1/1! or 7 times that or 0.0064 (not rounded until the end)<BR>\n" );
document.write( "for 2, it is that number *7^2/2! or 24.5 times that or 0.0223<BR>\n" );
document.write( "for 3, it is 7^3/3! or 343/6 times that or 0.0521<BR>\n" );
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document.write( "From calculator, it is 0.0818\r<BR>\n" );
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document.write( "More than 3 is the complement or 0.9182 </SPAN>\n" );
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