document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199260>Question 1199260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 522.7 kg and a variance of 100 kg squared. What is the probability that the weight of concrete poured into a mold is less than 521 kg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833047 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the mean is 522.7 kg<BR>\n" );
document.write( "the variance is 100 square kg.<BR>\n" );
document.write( "the standard deviation is the square root of the variance = 100 kg<BR>\n" );
document.write( "raw score you want to test against is 521 kg<BR>\n" );
document.write( "z-score formula is z = (x - m) / s<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation.<BR>\n" );
document.write( "formula becomes z = (521 - 522.7) / 100 = -.017<BR>\n" );
document.write( "area to the left of a z-score of -.017 = .493218 rounded to 6 decimal places.<BR>\n" );
document.write( "that's the probability that the weight of concrete poured into a mold is less than 521 kg.<BR>\n" );
document.write( "that's equal to 49.32% rounded to 2 decimal places. </SPAN>\n" );
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