document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880703>Question 880703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)<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 #531640 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=531640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective?<BR>\n" );
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document.write( "std = 16/2 = 8<BR>\n" );
document.write( "z(165.8) = (168.5-175)/8 = -0.8125 <BR>\n" );
document.write( "P(x < 165.8) = P(z< -0.8125) = 0.2083<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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