document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978934>Question 978934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Women have head circumferences that are normally distributed with a mean given by µ=22.46in, and a standard deviation given by &#417;=0.6in. \r<BR>\n" );
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document.write( "1. If a hat company produces women's hats so that they fit head circumferences between 21.8in and 22.8 in., what is the probability that a randomly selected women will be able to fit into one of these hats?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600293 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the z scores for each value.<BR>\n" );
document.write( "Then the associated probability.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B1%5D=%2821.8-22.45%29%2F0.6=-1.083 ALIGN=MIDDLE  ALT=\"z%5B1%5D=%2821.8-22.45%29%2F0.6=-1.083\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B2%5D=%2822.8-22.45%29%2F0.6=0.567 ALIGN=MIDDLE  ALT=\"z%5B2%5D=%2822.8-22.45%29%2F0.6=0.567\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The probabilities associated with those z scores are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28z%5B1%5D%29=0.1357 ALIGN=MIDDLE  ALT=\"P%28z%5B1%5D%29=0.1357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28z%5B2%5D%29=0.7145 ALIGN=MIDDLE  ALT=\"P%28z%5B2%5D%29=0.7145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.7145-0.1357 ALIGN=MIDDLE  ALT=\"P=0.7145-0.1357\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.579 ALIGN=MIDDLE  ALT=\"P=0.579\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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