document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982999>Question 982999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assume the random variable x is normally distributed with mean =86 and standard deviation =4, Find the indicated probability p(x<83)=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603790 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=603790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z = (x-mu)/sigma\r<BR>\n" );
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document.write( "z = (83-86)/4\r<BR>\n" );
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document.write( "z = -0.75\r<BR>\n" );
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document.write( "Use a table like <a  rel=nofollow HREF=\"https://www.stat.tamu.edu/~lzhou/stat302/standardnormaltable.pdf\">this one</a> to find that P(Z < -0.75) = 0.22663\r<BR>\n" );
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document.write( "So, P(X < 83) = 0.22663\r<BR>\n" );
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