document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028562>Question 1028562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Variable A is normally distributed with &#956; = 12.30 and &#963; = 3.11. What is the probability that a randomly selected case will have a score of less than 14? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643647 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=643647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we need to calculate the z-value and then consult the tables of z-values<BR>\n" );
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document.write( "z-value = (X - mean) / standard deviation<BR>\n" );
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document.write( "z-value = (14 - 12.30) / 3.11 = 0.546623794 approx 0.55<BR>\n" );
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document.write( "the corresponding probability is 0.7088<BR>\n" );
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document.write( "Probability (X < 14) is 0.7088<BR>\n" );
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