document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075241>Question 1075241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect.<BR>\n" );
document.write( "(a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 5000 cars.<BR>\n" );
document.write( "(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. (a) using a Poisson distribution and compare the results. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689921 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=689921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p=(5000C4)(1/2000)^4*1999/2000^4996<BR>\n" );
document.write( "=0.1336<BR>\n" );
document.write( "np=5000*(1/2000)=2.5<BR>\n" );
document.write( "That is the Poisson parameter.<BR>\n" );
document.write( "For 4 cars<BR>\n" );
document.write( "e^(-2.5)2.5^4/4!<BR>\n" );
document.write( "=0.1336<BR>\n" );
document.write( "The same. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );