document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959416>Question 959416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean weight of a box of cereal filled by a machine is 15.0 ounces, with a standard deviation of 0.4 ounce. If the weights of all the boxes filled by the machine are normally distributed, what percent of the boxes will weigh the following amounts? (Round your answers to two decimal places.)\r<BR>\n" );
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document.write( "(a) less than 14.5 ounces<BR>\n" );
document.write( "               ? %\r<BR>\n" );
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document.write( "(b) between 14.7 and 15.3 ounces<BR>\n" );
document.write( "                ? % </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586456 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=586456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean weight of a box of cereal filled by a machine is 15.0 ounces, with a standard deviation of 0.4 ounce. If the weights of all the boxes filled by the machine are normally distributed, what percent of the boxes will weigh the following amounts? (Round your answers to two decimal places.)\r<BR>\n" );
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document.write( "(a) less than 14.5 ounces<BR>\n" );
document.write( "z(14.5) = (14.5-15)/0.4 = -1.25<BR>\n" );
document.write( "P(x < 14.5) = P(z < -1.25) = 0.1057<BR>\n" );
document.write( "               10.57 %<BR>\n" );
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document.write( "(b) between 14.7 and 15.3 ounces<BR>\n" );
document.write( "z(15.3) = (15.3-15)/0.4 = 0.3/0.4 = 0.75<BR>\n" );
document.write( "z(14.7) = (14.7-15)/0.4 = -0.3/0.4 = -0.75<BR>\n" );
document.write( "P(14.7< x < 15.3) = P(-0.75< z <0.75) = 0.5468<BR>\n" );
document.write( "                54.68 %<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------- </SPAN>\n" );
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