document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237427>Question 237427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?<BR>\n" );
document.write( "(5 points)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174712 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=174712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.56?<BR>\n" );
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document.write( "Find the z-value of 0.56.<BR>\n" );
document.write( "z(0.56) = (0.56-0.55)/0.01 = 0.01/0.01 = 1<BR>\n" );
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document.write( "P(x < 0.56) = P(z < 1) = 0.8413 = 84.13%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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