document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973142>Question 973142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem. \r<BR>\n" );
document.write( "\n" );
document.write( "If X is Normally distributed with a mean of 3 and a variance of 4, find P(|X&#8722;3|>1.7) to 2 decimal places.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595385 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean of X=3<BR>\n" );
document.write( "SD =2 (variance is 4);  Would expect most of the values to be within 1 and 5<BR>\n" );
document.write( "x> 4.7<BR>\n" );
document.write( "x<1.3\r<BR>\n" );
document.write( "\n" );
document.write( "Both of those satisfy (|X&#8722;3|>1.7      ;;;;x-3>1.7;  x>4.7 ;;;   x-3 < -1.7;  x<1.3\r<BR>\n" );
document.write( "\n" );
document.write( "z+(x-mean)/2 = (1.7)/2   z> +0.85\r<BR>\n" );
document.write( "\n" );
document.write( "z=(1.3-3)/2  =- (1.7)/2   z< -0.85\r<BR>\n" );
document.write( "\n" );
document.write( "P= 0.40   This seems reasonable. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );