document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203184>Question 1203184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find z if<BR>\n" );
document.write( "	<BR>\n" );
document.write( "a) the normal curve area between 0 and z is 0.4884\r<BR>\n" );
document.write( "\n" );
document.write( "b) the normal curve area to the right of z is 0.8665\r<BR>\n" );
document.write( "\n" );
document.write( "Please help! Thank you. \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 #838544 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find z if<BR>\n" );
document.write( "	<BR>\n" );
document.write( "a) the normal curve area between 0 and z is 0.4884\r<BR>\n" );
document.write( "\n" );
document.write( "b) the normal curve area to the right of z is 0.8665\r<BR>\n" );
document.write( "\n" );
document.write( "Please help! Thank you. <BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  If the normal curve area between 0 and z is 0.4884,\r\n" );
document.write( "     then the normal curve area on the left of z is 0.5 + 0.4885 = 0.9885.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     To find z, use the standard function invNorm in your regular calculator \r\n" );
document.write( "     TI-83 or TI-84\r\n" );
document.write( "\r\n" );
document.write( "                     area    mean SD   <<<---===  formatting pattern\r\n" );
document.write( "         z = invNorm(0.9885, 0,   1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Alternatively, you may use free of charge online calculator\r\n" );
document.write( "     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     With TI-83 or TI-84, you have\r\n" );
document.write( "\r\n" );
document.write( "                        area   mean   SD     <<<===--- formatting pattern\r\n" );
document.write( "          z = invNorm( 0.9885, 0.0,   1) = 2.2734.   <U>ANSWER</U>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     With online calculator, you have the same answer PLUS a complete visual explanations\r\n" );
document.write( "     on what you do, what the calculator does for you and why it is correct.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  if the normal curve area to the right of z is 0.8665, then\r\n" );
document.write( "        the normal curve area to the left  of z is 1-0.8665 = 0.1335.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     To find z, use the standard function invNorm in your regular calculator \r\n" );
document.write( "     TI-83 or TI-84\r\n" );
document.write( "\r\n" );
document.write( "                     area    mean SD   <<<---===  formatting pattern\r\n" );
document.write( "         z = invNorm(0.1335, 0,   1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Alternatively, you may use free of charge online calculator\r\n" );
document.write( "     https://onlinestatbook.com/2/calculators/inverse_normal_dist.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     With TI-83 or TI-84, you have\r\n" );
document.write( "\r\n" );
document.write( "                        area   mean   SD     <<<===--- formatting pattern\r\n" );
document.write( "          z = invNorm( 0.1335, 0.0,   1) = -1.11.   <U>ANSWER</U>\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     With online calculator, you have the same answer PLUS a complete visual explanations\r\n" );
document.write( "     on what you do, what the calculator does for you and why it is correct.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Solved, with complete explanations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To learn more on standard functions normalcdf and invNorm, look into these Internet web-sources\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.tcc.fl.edu/media/divisions/learning-commons/resources-by-subject/math/statistics/Choosing-whether-to-use-normalcdf-or-invNorm.pdf\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://courses.lumenlearning.com/introstats1/chapter/using-the-normal-distribution/\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );