document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189864>Question 1189864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Poisson model to approximate the probability. Round your answer to four decimal places.\r<BR>\n" );
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document.write( "The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to approximate the probability that among 120 calls received by the switchboard, there are no wrong numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821380 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=821380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E(X)=120*0.02=2.4=np the Poisson parameter (do the same thing with a lottery problem)<BR>\n" );
document.write( "probability is e^(-2.4)*2.4^0/0!<BR>\n" );
document.write( "=0.0907<BR>\n" );
document.write( "Modest accuracy as n is not large and p is not infinitesimally small<BR>\n" );
document.write( "Actual value is 0.98^120=0.0082\r<BR>\n" );
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