document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867591>Question 867591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help help help\r<BR>\n" );
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document.write( "The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.9 years and a standard deviation of 0.3 years. What is the probability that a randomly chosen battery will last between 3.5 and 4.1 years?\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523096 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=523096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.9 years and a standard deviation of 0.3 years. What is the probability that a randomly chosen battery will last between 3.5 and 4.1 years? <BR>\n" );
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document.write( "z(3.5) = (3.5-3.9)/0.3 = -0.5/0.3 = -1 2/3<BR>\n" );
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document.write( "z(4.1) = (4.1-3.9)/0.3 = 0.2/0.3 = 2/3<BR>\n" );
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document.write( "P(3.5 < x < 4.1) = P(-1 2/3 < z < 2/3) = normalcdf(-5/3,2/3) = 0.6997<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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