document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142604>Question 1142604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the average weight of a suitcase for an airline passenger is 50 pounds. the standard deviation is 2 pounds. if 20% of the suitcases are overweight, find the maximum weight allowed by the airline. \r<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 #763314 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=763314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> average weight of a suitcase is 50 pounds.<BR>\n" );
document.write( "standard deviation is 2 pounds.<BR>\n" );
document.write( "20% of the suitcases are overweight.<BR>\n" );
document.write( "what is the maximum weight?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "normal distribution is assumed, i believe.<BR>\n" );
document.write( "z-score for 20% of the area under the normal distribution curve being to the right of it would be z-score for 80% of the area under the normal distribution curve being to the left of it.<BR>\n" );
document.write( "that z-score would be .8416 rounded to 4 decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z-score formula is z = (x-m)/s\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "z is the z-score.<BR>\n" );
document.write( "x is the raw score.<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "formula becomes .8416 = (x-50)/2<BR>\n" );
document.write( "solve for x to get x = .8416 * 2 +50 = 51.6832.<BR>\n" );
document.write( "that should be your answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see this in the following graphs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the first 2 graphs derive the z-score and the raw score from .2 of the area under the normal distribution curve to the right of that z-scire.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the second 2 graphs derive the area to the right of the indicated z-score and raw score.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com//2019/062601.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com//2019/062602.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com//2019/062603.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com//2019/062604.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );