document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022177>Question 1022177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a random variable Y has normal distribution with mean 25 and standard deviation 5 find the probability  that P(Y&#8804;25)<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 #637922 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=637922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to calculate the z-value in order to find the probability<BR>\n" );
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document.write( "z-value = (25 - 25) / 5 = 0<BR>\n" );
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document.write( "consult table of z-values<BR>\n" );
document.write( "P(Y < 25) = 0.5000 or 50%<BR>\n" );
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document.write( "this tells us that 50% of the values in a normal distribution will be below 25 and 50% of the values will be greater than 25<BR>\n" );
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document.write( "strictly speaking we do not include the = when using a normal distribution, = is reserved for the binomial probability distribution<BR>\n" );
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