document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079760>Question 1079760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coffee machine dispenses coffee according to a <BR>\n" );
document.write( "normal distribution, with a mean of 8.4 ounces and <BR>\n" );
document.write( "a standard deviation of 0.16 ounces. Find the <BR>\n" );
document.write( "probabilities of the following events. <BR>\n" );
document.write( "a. A cup is dispensed with less than 8 ounces. <BR>\n" );
document.write( "b. A cup has at least 8.5 ounces.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693984 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  z-score = (8 - 8.4) / 0.16 = &#8722;2.5<BR>\n" );
document.write( "lookup z-score in normal distribution z-tables<BR>\n" );
document.write( "Probability ( X < 8 ) = 0.0062<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b.  Probability ( X > or = 8.5 ) = 1 - Probability ( X < 8.5 )<BR>\n" );
document.write( "z-score = (8.5 - 8.4) / 0.16 = 0.625<BR>\n" );
document.write( "Probability ( X < 8.5 ) = 0.73401<BR>\n" );
document.write( "Probability ( X > or = 8.5 ) = 1 - 0.73401 = 0.266<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );