document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946816>Question 946816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume x has a standard normal distribution and a mean of 45 with a standard deviation of 8.  <BR>\n" );
document.write( "What is the probability that if you pick a random x value it is greater than 50?<BR>\n" );
document.write( "What equation do I use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577617 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the area under the normal distribution curve and the z score.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28x-mu%29%2Fsigma=%2850-45%29%2F8=0.625 ALIGN=MIDDLE  ALT=\"z=%28x-mu%29%2Fsigma=%2850-45%29%2F8=0.625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With that z score, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.734 ALIGN=MIDDLE  ALT=\"P=0.734\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So with that 73.4% of the numbers would be less than 50 leaving 26.6% of the numbers to be greater than 50.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );