document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973434>Question 973434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like to know how to answer this probability question\r<BR>\n" );
document.write( "\n" );
document.write( "Weekly demand for an item is distributed normally with a mean of 630, and a standard deviation of 50. If you stocked exactly the mean of demand what is the probability that demand will exceed what you have in stock. Then question 2 is what is the probability of the demand exceeding what you stock if you stock 10% over the mean demand </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595624 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=595624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean=630  sd=50<BR>\n" );
document.write( "The first is 50%\r<BR>\n" );
document.write( "\n" );
document.write( "z= (value-mean)/sd<BR>\n" );
document.write( "But value=mean, so z=0, and that is at the midpoint of the probability curve.\r<BR>\n" );
document.write( "\n" );
document.write( "z=(693-630)/50  ;; 10% over the mean demand is 10%of 630 (63) added to 630.<BR>\n" );
document.write( "z=63/50= +1.26<BR>\n" );
document.write( "The probability wanted is that of z>1.26  This is relatively small, and in fact it is 0.104 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );