document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758340>Question 758340</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 135 and a variance of 4. The material is considered defective if the breaking strength is less than 131 pounds. What is the probability that a single, randomly selected piece of material will be defective? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461423 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=461423\">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 135 and a variance of 4. The material is considered defective if the breaking strength is less than 131 pounds. What is the probability that a single, randomly selected piece of material will be defective?<BR>\n" );
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document.write( "z(131) = (131-135)/4 = -4/4 = -1<BR>\n" );
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document.write( "P(x < 131) = P(z < -1) = normalcdf(-100,-1) = 0.1587<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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