document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103301>Question 1103301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A normal population has a mean &#956; =15 and standard deviation = 4. What is the probability that a randomly chosen value will be greater than 20? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718016 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A normal population has a mean &#956; =15 and standard deviation = 4. <BR>\n" );
document.write( "What is the probability that a randomly chosen value will be greater than 20?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(20) = (20-15)/4 = 5/4<BR>\n" );
document.write( "So, 20 is (5/4)th standard deviations above the mean.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "P(x > 20) = P(z > 5/4) = normalcdf(5/4,100) = 0.1056<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );