document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085642>Question 1085642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it will break before 24 months? Assume a normal distribution </SPAN>\n" );
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document.write( "a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it will break before 24 months? Assume a normal distribution<BR>\n" );
document.write( " <BR>\n" );
document.write( "We are given that the distribution is normal, with<BR>\n" );
document.write( "mean=mu=48<BR>\n" );
document.write( "standard deviation=sigma=12<BR>\n" );
document.write( "and <BR>\n" );
document.write( "P(x<X)=Z(<(X-mu)/sigma)<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "P(x<24)=Z(<(24-48)/12)=Z(<-2)=0.02275 (from normal probability tables)<BR>\n" );
document.write( " <BR>\n" );
document.write( "Hence<BR>\n" );
document.write( "probability that the cell phone will break before 24 months is 0.02275. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );