document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=873585>Question 873585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Sirs,<BR>\n" );
document.write( "I have a Q, I tried many times but it is still not right. Given that X is a random variable for a normal distribution with mean &#956; = 54.3 and standard deviation &#963; = 8.9 find P(X > 35.076). <BR>\n" );
document.write( "Please help\r<BR>\n" );
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document.write( "Regards<BR>\n" );
document.write( "Thong \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526969 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=526969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to calculate the z-value for P(X < 35.076) and its associated probability by consulting the z-table.<BR>\n" );
document.write( "note that P(x > 35.076) = 1 - P(X < 35.076)<BR>\n" );
document.write( "z-value = X - mean / std deviation = (35.076 - 54.3) / 8.9 = &#8722;2.16<BR>\n" );
document.write( "consult table of negative z-values for P(X < 35.076) = 0.0154<BR>\n" );
document.write( "P(x > 35.076) = 1 - 0.0154 = 0.9846<BR>\n" );
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