document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832383>Question 832383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose X is random variable from a normal distribution with  mean=10 and standard deviation=5.  Find the following probabilities using the Z-table.  <BR>\n" );
document.write( "(a)  P (X>12)       (b)   P(X<12)      (c) P(X<8)      (d)  P(X<3)      </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502029 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculate z.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28x-m%29%2Fsigma ALIGN=MIDDLE  ALT=\"z=%28x-m%29%2Fsigma\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%2812-10%29%2F5=0.4 ALIGN=MIDDLE  ALT=\"z=%2812-10%29%2F5=0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(X<12)=0.6554<BR>\n" );
document.write( "P(X>12)=1-0.6554=0.3446<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Do the other two examples in a similar fashion.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );