document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044465>Question 1044465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company which supplies ready mix concrete receives, on average, 6 orders per day. <BR>\n" );
document.write( "A) What is the probability that, on a given day: <BR>\n" );
document.write( "(i) No orders are received?<BR>\n" );
document.write( "(ii) No more than 2 orders are received? <BR>\n" );
document.write( "(iii) At least 3 orders are received?<BR>\n" );
document.write( "B) What is the probability that, on a given half-day, no orders are received?<BR>\n" );
document.write( "C) What is the mean and standard deviation of orders received per day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659776 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=659776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fits with poisson distribution where it is discrete, proportional to time, random, and could theoretically be infinite although unlikely.<BR>\n" );
document.write( "The poisson parameter is 6.<BR>\n" );
document.write( "p(0)=e^(-6)6^0/0!<BR>\n" );
document.write( "That is e^(-6)=0.0025<BR>\n" );
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document.write( "no more than 2 is 0,1,2<BR>\n" );
document.write( "p(1)=e^(-6)*6/1!=0.0149<BR>\n" );
document.write( "p(2)=e^(-6)*6^2/2!=18*e^(-6)=0.0446<BR>\n" );
document.write( "The sum of those 3 is 0.0620<BR>\n" );
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document.write( "At least 3 is 1-the above probability, since that is the complement.  It will be 0.9380.<BR>\n" );
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document.write( "At a given half day lambda=3<BR>\n" );
document.write( "p(0)=e^(-3)=0.0498<BR>\n" );
document.write( "Mean and variance are the same, and they are both the parameter lambda, here 6 orders for the mean and sqrt (6) or about 2.45 orders for sd.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );