document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675224>Question 675224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that X has a normal distribution, and find the indicated probability.\r<BR>\n" );
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document.write( "The mean is &#956; = 60.0 and the standard deviation is &#963; = 4.0.<BR>\n" );
document.write( "Find the probability that X is less than 53.0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419638 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=419638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean is &#956; = 60.0 and the standard deviation is &#963; = 4.0.<BR>\n" );
document.write( "Find the probability that X is less than 53.0.<BR>\n" );
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document.write( "z(53) = (53-60)/4 = -7/4<BR>\n" );
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document.write( "P(x < 53) = P(z < -7/4) = normalcdf(-100,-7/4) = 0.0401<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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