document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312128>Question 312128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	A mutual fund manager is reviewing her account status and finds that the account population is normally distributed with a mean of $60,000 and a standard deviation of $6,000. \r<BR>\n" );
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document.write( "a.	If she selects an account at random, what is the probability the account will have a value between $60,000 and $69,000? _______\r<BR>\n" );
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document.write( "b.	If she selects an account at random, what is the probability the account will have a value between $51,000 and $66,000? ________\r<BR>\n" );
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document.write( "c.	If she selects an account at random, what is the probability the account will have a value less than $55,000?  ________\r<BR>\n" );
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document.write( "d.	If she selects an account at random, what is the probability the account will have a value greater than $72,000?  ________<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 #223162 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=223162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Find the z score for 60000 and 69000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2860000%29=%2860000-60000%29%2F6000=0 ALIGN=MIDDLE  ALT=\"z%2860000%29=%2860000-60000%29%2F6000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2869000%29=%2869000-60000%29%2F6000=1.5 ALIGN=MIDDLE  ALT=\"z%2869000%29=%2869000-60000%29%2F6000=1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29=0.50000 ALIGN=MIDDLE  ALT=\"P%280%29=0.50000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.5%29=0.93319 ALIGN=MIDDLE  ALT=\"P%281.5%29=0.93319\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(60K< x <69K)=P(1.5)-P(0)=0.93319-0.5=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280.43319%29 ALIGN=MIDDLE  ALT=\"highlight_green%280.43319%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) Find the z score for 55000 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2851000%29=%2851000-60000%29%2F6000=-1.5 ALIGN=MIDDLE  ALT=\"z%2851000%29=%2851000-60000%29%2F6000=-1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2866000%29=%2866000-60000%29%2F6000=1 ALIGN=MIDDLE  ALT=\"z%2866000%29=%2866000-60000%29%2F6000=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-1.5%29=0.066807 ALIGN=MIDDLE  ALT=\"P%28-1.5%29=0.066807\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29=0.841345 ALIGN=MIDDLE  ALT=\"P%281%29=0.841345\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(51K< x < 66K)=0.841345-0.066807=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280.774538%29 ALIGN=MIDDLE  ALT=\"highlight_green%280.774538%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) Find the z score for 55000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2855000%29=%2855000-60000%29%2F6000=-0.833 ALIGN=MIDDLE  ALT=\"z%2855000%29=%2855000-60000%29%2F6000=-0.833\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-0.8333%29=0.202328 ALIGN=MIDDLE  ALT=\"P%28-0.8333%29=0.202328\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x <55K)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280.202328%29 ALIGN=MIDDLE  ALT=\"highlight_green%280.202328%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "d) Find the z score for 72000 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2872000%29=%2872000-60000%29%2F6000=2 ALIGN=MIDDLE  ALT=\"z%2872000%29=%2872000-60000%29%2F6000=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=0.97725 ALIGN=MIDDLE  ALT=\"P%282%29=0.97725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x <72K)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.97725 ALIGN=MIDDLE  ALT=\"0.97725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x >72K)=1-P(x <72K)=1-0.97725=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280.02275%29 ALIGN=MIDDLE  ALT=\"highlight_green%280.02275%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( ". </SPAN>\n" );
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