document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156934>Question 1156934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 5. Find the probability during a randomly selected hour.<BR>\n" );
document.write( "a. Exactly 6 babies will be born in this hospital <BR>\n" );
document.write( "b fewer than 3 babies will be born in this hospital <BR>\n" );
document.write( "c. Find the mean and standard deviation for this distribution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779725 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=779725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> exactly 6 babies is e^(-5)5^6/6!=0.1462<BR>\n" );
document.write( "fewer than 3 would be 0, 1,2<BR>\n" );
document.write( "for 0 it is e^-5 or 0.0067<BR>\n" );
document.write( "for 1 it is e^-5*5^1/1! or 5 times the above or 0.0337<BR>\n" );
document.write( "for 2 it will be e^(-5)*5^2/2!=0.0842<BR>\n" );
document.write( "The sum is the answer or 0.1246 (calculator rounds to 0.1247 which picks up rounding error from by hand.\r<BR>\n" );
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document.write( "the mean is 5 the variance is 5 and the sd is sqrt(5) (exact) or 2.236 </SPAN>\n" );
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