document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138941>Question 1138941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Every hour a certain traffic light is green for 45 min, orange for 1 minutes and red for 14<BR>\n" );
document.write( "minutes. A taxi passes the same traffic light 9 times a day.<BR>\n" );
document.write( "1. What is the probability that the light is green on all occasions?<BR>\n" );
document.write( "2. What is the probability that the light is not red on at least 3 occasions.<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 #756743 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=756743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is green 3/4 of the time, 45/60<BR>\n" );
document.write( "0.75^9=0.0751\r<BR>\n" );
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document.write( "not red is 46/60 of the time<BR>\n" );
document.write( "for 0 occasions is 0.0915<BR>\n" );
document.write( "for 1 is 9*(0.7667^8)*0.02333 (the 9 is the number of different ways 1 can occur)=0.2507<BR>\n" );
document.write( "for 2 it is 9C2*0.7667^7*0.2333^2=0.3051<BR>\n" );
document.write( "That probability is 0.6473<BR>\n" );
document.write( "The complement is at least 3, and that is 0.3527, the answer. </SPAN>\n" );
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