document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981948>Question 981948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A newspaper finds that the mean number of typos per page is 3. Find the probability that (a) exactly 4 typos are found on a page, (b) at most 4 typos are found on a page, and (c) more than 4 typos are found on a page. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603548 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "A newspaper find the mean number of typos per page is 3.<BR>\n" );
document.write( "Find probability that<BR>\n" );
document.write( "(A) exactly 4 typos are found on a page<BR>\n" );
document.write( "(B) at most 4 typos are found on a page<BR>\n" );
document.write( "(C) more than 4 typos are found on a page.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "This is a Poisson distribution with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lambda=3 ALIGN=MIDDLE  ALT=\"lambda=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The Poisson distriibution is<BR>\n" );
document.write( "P(n)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lambda%5En%2Ae%5E%28-lambda%29%2Fn%21 ALIGN=MIDDLE  ALT=\"lambda%5En%2Ae%5E%28-lambda%29%2Fn%21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "(A) n=4<BR>\n" );
document.write( "P(4)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lambda%5E4%2Ae%5E%28-lambda%29%2F4%21=0.16803 ALIGN=MIDDLE  ALT=\"lambda%5E4%2Ae%5E%28-lambda%29%2F4%21=0.16803\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(B) n<=4<BR>\n" );
document.write( "P(n<=4)=P(0)+P(1)+P(2)+P(3)+P(4)<BR>\n" );
document.write( "=0.04979+0.14936+0.22404+0.22404+0.16803<BR>\n" );
document.write( "=0.81526<BR>\n" );
document.write( "(C) n>4<BR>\n" );
document.write( "P(n>4)=1-P(n<=4)=1-0.81526<BR>\n" );
document.write( "=0.18474 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );