document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131712>Question 1131712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 9 minutes? The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes.\r<BR>\n" );
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document.write( "(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)<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 #748672 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=748672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is still going to be 9 minutes regardless of the prior wait.<BR>\n" );
document.write( "mean=1/26.23=0.038<BR>\n" );
document.write( "Probability x>9 is e^(-9*0.038), so probability x<9 is 1-e^(-9*0.038)<BR>\n" );
document.write( "e^(-9x)=e^(-0.342)=0.7103. The complement is 0.2897, ANSWER<BR>\n" );
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