document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190729>Question 1190729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of earthquake tremors in a 12-month period appears to be distributed as a Poison random variable with mean of 6. Assume the number of tremors from one 12-month period is independent of the number in the next 12-month period. <BR>\n" );
document.write( "a. What is the probability that there are 10 tremors in 1 year? <BR>\n" );
document.write( "b. What is the probability that there are 18 tremors in 2 year? <BR>\n" );
document.write( "c. What is the probability that there are no tremors in a 1-month period? <BR>\n" );
document.write( "d. What is the probability that there are more than 5 tremors in a 6-month period? <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 #822533 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=822533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. This is e^(-6)*6^10/10!=0.0413 or poissonpdf (2ndVARS and scroll to poissonpdf then ENTER (6,10) for poissonpdf)<BR>\n" );
document.write( "b. this would be poisson 18, 12 or e^(-12)*12^18/18!=0.0255<BR>\n" );
document.write( "c. for 1 month use parameter 0.5, 6/12 since these are proportional to time<BR>\n" );
document.write( "look for 0 tremors so e^(-0.5)*0.5^0/0!=0.6065<BR>\n" );
document.write( "d. The parameter would be 3 for a 6 month period. 1-poissoncdf(3,5)=0.0839<BR>\n" );
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