document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180058>Question 1180058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The time to microwave a bag of popcorn using the automatic setting can be treated as a random variable having a normal distribution standard deviation 10 secohds. If the probability is 0.8212 that the bag will take less than 282.5 seconds to pop, find the probability that it will take longer than 258.3 seconds to pop. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809709 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0.8212 is a z of +0.92 from invnorm (0.8212,0,1)ENTER or the table<BR>\n" );
document.write( "0.92<(x-mean)/sd<BR>\n" );
document.write( "so 9.2<x-mean or 282.5-mean<BR>\n" );
document.write( "so mean is 273.3 sec <BR>\n" );
document.write( "-<BR>\n" );
document.write( " z>(258.3-273.3)/10 or >-1.5<BR>\n" );
document.write( "that probability is 0.9332\r<BR>\n" );
document.write( "\n" );
document.write( "mean is 273.3<BR>\n" );
document.write( "mean -1 sd is 263.3<BR>\n" );
document.write( "mean-2 sd is 253.3<BR>\n" );
document.write( "Mean +1 sd is 283.3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );