document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881096>Question 881096</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 165 and a variance of 4. The material is considered defective if the breaking strength is less than 160.2 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.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531975 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=531975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> *Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = (160.2-165)/4<BR>\n" );
document.write( "P(x < 160.02) = P(z < -4.8/4) = 11.51% </SPAN>\n" );
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