document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=377540>Question 377540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus arrives at a bus stop at 10am, 24 minutes past ten, and 11am. You arrive <BR>\n" );
document.write( "at the bus stop at random times between 10:00am and 11:00am everyday, so all <BR>\n" );
document.write( "arrival times are equally likely. Find your expected waiting time for the bus.\r<BR>\n" );
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document.write( "(Hint: Find the probability that you will arrive at the bus stop between 10:00am <BR>\n" );
document.write( "and 24 minutes past ten and find your mean waiting time in that case. Then find <BR>\n" );
document.write( "the probability that you will arrive at the bus stop between 24 minutes past 10 <BR>\n" );
document.write( "and 11am and find your mean waiting time in that case.)\r<BR>\n" );
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document.write( "Please Help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268289 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability of 10:00 and 10:24 = 24/60 = .4 mean waiting time 24/2 = 12 min<BR>\n" );
document.write( "Probability of 10:24 and 11:00 = 36/60 = .6 mean waiting time 36/2 = 18 min<BR>\n" );
document.write( "Expected waiting time = .4*12 + .6*18 = 15.6 min (sum of the individual expectations)<BR>\n" );
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document.write( "Ed<BR>\n" );
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