document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132638>Question 132638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the time, X, that a tourist must wait to board a trolley car in San 	Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes.\r<BR>\n" );
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document.write( "a.What is the probability that the tourist’s wait-time is exactly 0 minutes?  \r<BR>\n" );
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document.write( "b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car?    \r<BR>\n" );
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document.write( "c.What is the expected wait-time for a tourist?<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 #96962 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes. <BR>\n" );
document.write( "a.What is the probability that the tourist’s wait-time is exactly 0 minutes?<BR>\n" );
document.write( "P(X=0) = 1/10<BR>\n" );
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document.write( "b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car? <BR>\n" );
document.write( "P(X = 9 or 10) = 2/10 = 1/5<BR>\n" );
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document.write( "c.What is the expected wait-time for a tourist?<BR>\n" );
document.write( "E(X) = (1/10)(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)<BR>\n" );
document.write( "E(x) = (1/10)[(10/2)(11) = 5.5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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