document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386068>Question 386068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lifetime of a Duracell AAA battery is normally distributed with a mean M=28.5 hours and standard deviation baby sigma= 5.3 hours. Compute z scores to determine for a battery selected at random, what is the probability is that the lifetime will be<BR>\n" );
document.write( "a.) 25 hours or less<BR>\n" );
document.write( "b.) 34 hours or more<BR>\n" );
document.write( "c.) between 25 hours and 34 hours. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272979 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=272979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The lifetime of a Duracell AAA battery is normally distributed with a mean M=28.5 hours and standard deviation baby sigma= 5.3 hours. Compute z scores to determine for a battery selected at random, what is the probability is that the lifetime will be<BR>\n" );
document.write( "a.) 25 hours or less<BR>\n" );
document.write( "z(25) = (25-28.5)/5.3 = -0.6604<BR>\n" );
document.write( "P(x <= 25) = P(z <= -0.6604) = 0.2545<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "b.) 34 hours or more<BR>\n" );
document.write( "Prob = 0.1497<BR>\n" );
document.write( "c.) between 25 hours and 34 hours.<BR>\n" );
document.write( "Prob = 0.5960<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" );