document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089263>Question 1089263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let X be a normally distributed random variable with \mu  &#956;  = 100 and  \sigma  &#963;  = 10. Find the probability that X  is between 70 and 110. (Round your answer to the nearest whole number percent and include the percent symbol.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703618 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=703618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability (P) ( 70 < X < 110 ) = P ( X < 110 ) - P ( X < 70 )<BR>\n" );
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document.write( "z(110) = (110 - 100) / 10 = 1<BR>\n" );
document.write( "P ( X < 110 ) = 0.8413<BR>\n" );
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document.write( "z(70) = (70 - 100) / 10 = -3<BR>\n" );
document.write( "P ( X < 70 ) = 0.0013<BR>\n" );
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document.write( "P ( 70 < X < 110 ) = 0.8413 - 0.0013 = 0.84 = 84%<BR>\n" );
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