document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150147>Question 1150147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed.\r<BR>\n" );
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document.write( "a. What is the probability that a randomly selected customer spends between 65 minutes to 75 minutes at the gym? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771550 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability a gym member spends less than 75 minutes at the gym:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-+mean%29%2FSD ALIGN=MIDDLE  ALT=\"%28x-+mean%29%2FSD\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875+-+70%29%2F20 ALIGN=MIDDLE  ALT=\"%2875+-+70%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F20 ALIGN=MIDDLE  ALT=\"5%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.25<BR>\n" );
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document.write( "Look up 0.25 on a z-table.  The result is 0.5987.<BR>\n" );
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document.write( "This means there is a 0.5987 probability a gym member spends less than 75 minutes at the gym.<BR>\n" );
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document.write( "Probability a gym member spends less than 65 minutes at the gym:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-+mean%29%2FSD ALIGN=MIDDLE  ALT=\"%28x-+mean%29%2FSD\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2865+-+70%29%2F20 ALIGN=MIDDLE  ALT=\"%2865+-+70%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2F20 ALIGN=MIDDLE  ALT=\"%28-5%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -0.25<BR>\n" );
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document.write( "Look up -0.25 on a z-table.  The result is 0.4013.<BR>\n" );
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document.write( "This means there is a 0.4013 probability a gym member spends less than 65 minutes at the gym.<BR>\n" );
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document.write( "So, the probability that a gym member spends between 65 and 75 minutes at the gym:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5987+-+0.4013 ALIGN=MIDDLE  ALT=\"0.5987+-+0.4013\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.1974<BR>\n" );
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