document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76117>Question 76117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: X = 100<BR>\n" );
document.write( "       The St Dev (sigma sign) is = 7\r<BR>\n" );
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document.write( "What is the probability that an item will be below 91 P(X < 91)<BR>\n" );
document.write( "What is the probability that an item will be above 111 P(X > 111)<BR>\n" );
document.write( "The probability that an item will be between 90 and 100 P(90 < X < 100) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54643 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=54643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: X = 100<BR>\n" );
document.write( "The St Dev (sigma sign) is = 7 <BR>\n" );
document.write( "What is the probability that an item will be below 91 P(X < 91)<BR>\n" );
document.write( "Find the z-score of 91:<BR>\n" );
document.write( "z(91)=(91-100)/7=-1.2857<BR>\n" );
document.write( "Then P(x<91)=P(z<-1,2857)=0.09927...<BR>\n" );
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document.write( "What is the probability that an item will be above 111 P(X > 111)<BR>\n" );
document.write( "Do the same thing with 111<BR>\n" );
document.write( "z(111)=(111-100)/7=1.5714<BR>\n" );
document.write( "P(x>111)=P(z>1.5714)=0.05804...<BR>\n" );
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document.write( "The probability that an item will be between 90 and 100 P(90 < X < 100)<BR>\n" );
document.write( "Find the z-score of 90; the z-score of 100 is zero.<BR>\n" );
document.write( "You should be able to do this problem now.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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