document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923420>Question 923420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the question \"Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of 221 cm and a standard deviation of 11 cm. What is the probability that a randomly selected high jumper has a personal best between 199 and 210 cm?\" I found the solution P(199 < x < 210) = P(-2 < z < -1) = 0.1359. I understand how they got P(199<x<210)=P(-2<z<-1), I just don't understand how they ended up with 0.1359<BR>\n" );
document.write( "Help please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560007 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=560007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean of 221 cm and a standard deviation of 11 cm.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(199 < x < 210) = P(-2 < z < -1) = normalcdf(-2,-1) = .1359<BR>\n" );
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document.write( "P(-2 < z < -1) = P(z< -1) - P(z< -2) = .1587 - .0228 = .1359 </SPAN>\n" );
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