document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977723>Question 977723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A real estate agent lets the selling price for homes of a particular size in a particular neighborhood be given by X.  She then notes that X~N(175,15), where the units are in thousands of dollars.\r<BR>\n" );
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document.write( "Find the probability that a randomly selected home of this type will sell for between $165,000 and $180,000.  That is, find P(165<X<180).  Round to FOUR decimal places.\r<BR>\n" );
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document.write( "Answer: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599267 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=599267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming by N(175,15) you mean a normal distribution with a mean of 175 and a standard deviation of 15.<BR>\n" );
document.write( "Find the two z scores.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B1%5D=%28165-175%29%2F15=-2%2F3 ALIGN=MIDDLE  ALT=\"z%5B1%5D=%28165-175%29%2F15=-2%2F3\"   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=%28180-175%29%2F15=1%2F3 ALIGN=MIDDLE  ALT=\"z%5B2%5D=%28180-175%29%2F15=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then find the probability,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%28z%5B2%5D%29-P%28z%5B1%5D%29 ALIGN=MIDDLE  ALT=\"P=P%28z%5B2%5D%29-P%28z%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.631-0.252 ALIGN=MIDDLE  ALT=\"P=0.631-0.252\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.379 ALIGN=MIDDLE  ALT=\"P=0.379\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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