document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981477>Question 981477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company believes that the annual demand for a product will follow a normal random variable with a mean of 900 pieces and a standard deviation of 60 pieces. If the company produces 1000 pieces, what is the chance that it will run out of the product? Assume that the only way to meet the demand for the product is to use this year's production number.\r<BR>\n" );
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document.write( "I don't understand - if they make 1000 pieces, they should always have enough, right? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602451 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No there is the chance that the demand exceeds 1000.\r<BR>\n" );
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document.write( "x = 1000<BR>\n" );
document.write( "mu = 900<BR>\n" );
document.write( "sigma = 60<BR>\n" );
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document.write( "z = (x-mu)/simga<BR>\n" );
document.write( "z = (1000 - 900)/60<BR>\n" );
document.write( "z = 100/60<BR>\n" );
document.write( "z = 1.67\r<BR>\n" );
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document.write( "Use a calculator or <a  rel=nofollow HREF=\"https://www.stat.tamu.edu/~lzhou/stat302/standardnormaltable.pdf\">table</a> to find that P(Z < 1.67) = 0.95254 \r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "P(Z > 1.67) = 1 - P(Z < 1.67)<BR>\n" );
document.write( "P(Z > 1.67) = 1 - 0.95254<BR>\n" );
document.write( "P(Z > 1.67) = 0.04746<BR>\n" );
document.write( "P(X > 1000) = 0.04746\r<BR>\n" );
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document.write( "There is a 4.746% chance that they won't have enough to meet demand.  </SPAN>\n" );
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