document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145449>Question 1145449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It has been reported that the average hotel check-in time at the Protea Hotel, from curbside to delivery of bags into the room, is 12 minutes. Rene just left the taxi that brought her to the hotel. Assuming a normal distribution with a standard deviation of 2 minutes, what is the probability that the time required for Rene and her bags to get to the room will be between 8 and 10 minutes (rounded off to three decimals)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766677 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=766677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability the time is under 10 minutes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-12%29%2F2 ALIGN=MIDDLE  ALT=\"%2810-12%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%2F2 ALIGN=MIDDLE  ALT=\"%28-2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1 <BR>\n" );
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document.write( "Go to a z-table and find the value that corresponds with -1.  This value is 0.1587.  That means the probability is 0.1587 that the time required is less than 10 minutes.<BR>\n" );
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document.write( "Probability the time is under 8 minutes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-12%29%2F2 ALIGN=MIDDLE  ALT=\"%288-12%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2F2 ALIGN=MIDDLE  ALT=\"%28-4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2<BR>\n" );
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document.write( "Go to a z-table and find the value that corresponds with -2.  This value is 0.0228.  That means the probability is 0.0228 that the time required is less than 8 minutes.<BR>\n" );
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document.write( "To find the probability that the required time is between 8 and 10 minutes, simply subtract the probability the required time is less than 8 minutes (0.0228) from the probability the required time is less than 10 minutes (0.1587).  The answer is 0.1359. </SPAN>\n" );
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