document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933930>Question 933930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 11. An automobile battery manufacture offers an 18 month warranty on its car batteries. Under this warranty, if a battery fails within 18 months of purchase, the manufacturer replaces the battery at no charge to the consumer.  Assume that the lifetime of its car batteries is normally distributed with a mean of 32 months and a standard deviation of 7 months.\r<BR>\n" );
document.write( "\n" );
document.write( "								<BR>\n" );
document.write( "A.	What percentage of batteries will be replaced free of charge?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B.	If 200 batteries are sold in a given year each costing $150.00, then what was the total warranty costs of replacing defective batteries free ( Round up if necessary)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567115 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=567115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An automobile battery manufacture offers an 18 month warranty on its car batteries. Under this warranty, if a battery fails within 18 months of purchase, the manufacturer replaces the battery at no charge to the consumer. Assume that the lifetime of its car batteries is normally distributed with a mean of 32 months and a standard deviation of 7 months.<BR>\n" );
document.write( " <BR>\n" );
document.write( "A. What percentage of batteries will be replaced free of charge?<BR>\n" );
document.write( "z(18) = (18-32)/7 = -2<BR>\n" );
document.write( "P(x < 18 months) = P(z < -2) = 0.02275 = 2.275% will fail in less than 18 months<BR>\n" );
document.write( "---------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "B. If 200 batteries are sold in a given year each costing $150.00, then what was the total warranty costs of replacing defective batteries free ( Round up if necessary)<BR>\n" );
document.write( "Ans: 150*0.02275*200 = $682.50<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );