document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185533>Question 1185533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mobile phone company finds the lifespan for one brand of its mobile phones is normally distributed with a mean of 48,400 hours (approx. 5.5 years) and a standard deviation of 5000 hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer the following:\r<BR>\n" );
document.write( "\n" );
document.write( "If the manufacturer is willing to replace no more than 10% of the mobile phones, what should be the approximate number of hours for a warranty? Note: Express your answer in whole number. <BR>\n" );
document.write( "What is the probability that a mobile phone will last between 36,400 hours and 44,400 hours? Note: Express your answer in four decimal places. <BR>\n" );
document.write( "What is the probability that a mobile phone will last at least 55,900 hours? Note: Express your answer in four decimal places.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816701 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the calculator at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a> can help you find the answer to this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "mean = 48400<BR>\n" );
document.write( "standard deviation = 5000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "question 1:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the manufacturer is willing to replace no more than 10% of the mobile phones, what should be the approximate number of hours for a warranty? Note: Express your answer in whole number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the warranty should state that the approximate number of hours of life for the phone is guaranteed to be at least 41992.242\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "round to units to get 41992.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here are the results from the calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/100911.jpg\" >\r<BR>\n" );
document.write( "\n" );
document.write( "question 2:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What is the probability that a mobile phone will last between 36,400 hours and 44,400 hours? Note: Express your answer in four decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability is equal to .2037\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here are the results from the calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/100908.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "question 3:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What is the probability that a mobile phone will last at least 55,900 hours? Note: Express your answer in four decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the probability is equal to .0668\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here are the results from the calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/100910.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in question 1, you were looking for a value from an area.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in question 2 and 3, you were looking for an area from a value.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i confirmed with that the answers were consistent with the answers from my ti-84 plus scientific calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );