document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179342>Question 1179342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.9 years, and standard deviation of 3.7 years.\r<BR>\n" );
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document.write( "The 3% of items with the shortest lifespan will last less than how many years?\r<BR>\n" );
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document.write( "Give your answer to one decimal place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808869 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one can use invnorm(.03,13.9,3.7) and the answer is 6.94 years or 6.9 years.<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "z(0.03)=-1.88<BR>\n" );
document.write( "so -1.88=(x-13.9)/3.7<BR>\n" );
document.write( "and x-13.9=-6.96<BR>\n" );
document.write( "x=6.94 years or 6.9 years </SPAN>\n" );
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