document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933739>Question 933739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> True or False?  Support your answer.  If one score is randomly selected from a normal distribution with µ = 100 and &#963; = 20, the probability of obtaining a score between X = 80 and X = 120 is p = 0.3413.<BR>\n" );
document.write( "I would appreciate just a formula, I am not sure what to do to calculate the answer.\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
document.write( "JB </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567135 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=567135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  µ = 100 and &#963; = 20<BR>\n" );
document.write( ".....<BR>\n" );
document.write( "one score is randomly selected:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+100%29%2Fblue%2820%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+100%29%2Fblue%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "P( 80 < x <120) = P( -20/20 < z < 20/20) = normalcdf(-1,1) = .6826<BR>\n" );
document.write( "0r<BR>\n" );
document.write( "P( 80 < x <120) = P(z < 1) - P(z < -1) = .8413 - .1587 = .6826<BR>\n" );
document.write( ".....\r<BR>\n" );
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document.write( "  For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  <BR>\n" );
document.write( "68.26% of the Area under the standard normal curve is between z = -1  and z = 1<BR>\n" );
document.write( "Note: 34.13% of the Area under the standard normal curve is between z = 0  and z = 1<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+graph%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+exp%28-x%5E2%2F2%29%29%2C+green%28line%281%2C0%2C1%2Cexp%28-1%5E2%2F2%29%29%2Cline%28-1%2C0%2C-1%2Cexp%28-1%5E2%2F2%29%29%29%2Cgreen%28line%282%2C0%2C2%2Cexp%28-2%5E2%2F2%29%29%2Cline%28-2%2C0%2C-2%2Cexp%28-2%5E2%2F2%29%29%29%2Cgreen%28line%283%2C0%2C3%2Cexp%28-3%5E2%2F2%29%29%2Cline%28-3%2C0%2C-3%2Cexp%28-3%5E2%2F2%29%29%29%2Cgreen%28line%28+0%2C0%2C+0%2Cexp%280%5E2%2F2%29%29%29%2Clocate%284.8%2C-.01%2Cz%29%2Clocate%284.8%2C.2%2Cz%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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