document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173094>Question 1173094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus comes by every 7 minutes. The times from when a person arives at the bus stop until the bus arrives follows a Uniform distribution from 0 to 7 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.\r<BR>\n" );
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document.write( "a. The mean of this distribution is <BR>\n" );
document.write( "b. The standard deviation is <BR>\n" );
document.write( "c. The probability that the person will wait more than 3 minutes is <BR>\n" );
document.write( "d. Suppose that the person has already been waiting for 1 minutes. Find the probability that the person's total waiting time will be between 2.1 and 3 minutes <BR>\n" );
document.write( "e. 56% of all customers wait at least how long for the train? <BR>\n" );
document.write( " minutes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798277 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean is the midpoint between the ends or 3.5 min<BR>\n" );
document.write( "variance is (b-a)^2/12 or 49/12 or 4.0833 min<BR>\n" );
document.write( "sd is sqrt(V)=2.02 min<BR>\n" );
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document.write( "wait more than 3 min is (4/7), which may be converted to the decimal.<BR>\n" );
document.write( "waiting 1 minute.  The total waiting time must be between 2.1 and 3 minutes. That means the person will wait between 2.1 and 3 minutes 0.9 minute range, with 6 minutes to go, since the clock has started.<BR>\n" );
document.write( "That is 0.1500 probability.<BR>\n" );
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document.write( "56% wait 3.92 minutes, 7*0.56<BR>\n" );
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