document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321228>Question 321228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 581 MPa with a standard deviation of 13 MPa.\r<BR>\n" );
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document.write( "What is the probability that a randomly chosen sample of glass will break at, (Round your answers to 4 decimal places.)<BR>\n" );
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document.write( "(a) 	less than 581 MPa? 	 <BR>\n" );
document.write( "(b) 	more than 592 Mpa? 	 <BR>\n" );
document.write( "(c) 	less than 602 MPa? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230034 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=230034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 581 MPa with a standard deviation of 13 MPa. <BR>\n" );
document.write( "What is the probability that a randomly chosen sample of glass will break at, (Round your answers to 4 decimal places.)\r<BR>\n" );
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document.write( "(a) less than 581 MPa?<BR>\n" );
document.write( "z(581) = (581-581)/13 = 0<BR>\n" );
document.write( "P(x< 581) = P(z< 0)= 0.5000<BR>\n" );
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document.write( "(b) more than 592 Mpa<BR>\n" );
document.write( "z(592) = (592-581)/13 = 11/13<BR>\n" );
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document.write( "P(x > 592) = P(z > 11/13) = normalcdf(11/13,1000) = 0.1987<BR>\n" );
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document.write( "(c) less than 602 MPa?<BR>\n" );
document.write( "= P(z < z(602)) = normalcdf(0,602,581,13) = 0.9469<BR>\n" );
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document.write( "Comment: I have used several methods to find the 3 answers.<BR>\n" );
document.write( "Let me know if this is confusing.  <BR>\n" );
document.write( "The normalcdf is a function on a TI-84 calculator.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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