document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290906>Question 290906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Tutor,\r<BR>\n" );
document.write( "\n" );
document.write( "I have always had trouble with probability, and I am faced with the following question:\r<BR>\n" );
document.write( "\n" );
document.write( "Delta Airlines quotes a flight time of 2hrs and 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 120 to 140 minutes. \r<BR>\n" );
document.write( "\n" );
document.write( "a. What is the probability that the flight will be more than 10 minutes late?<BR>\n" );
document.write( "b. What is the expected flight time?\r<BR>\n" );
document.write( "\n" );
document.write( "If you could answer one, or both parts of this question I would greatly appreciate it!!!\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210488 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=210488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Delta Airlines quotes a flight time of 2hrs and 5 minutes (125 minutes) for its flights from Cincinnati to Tampa.<BR>\n" );
document.write( "Suppose we believe that actual flight times are uniformly distributed between 120 to 140 minutes. <BR>\n" );
document.write( "a. What is the probability that the flight will be more than 10 minutes late?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "At least 10 minutes late is a flight of at least 135 minutes<BR>\n" );
document.write( "If flight times range from 120 to 140 minutes, 6*sigma = 20<BR>\n" );
document.write( "and sigma = 10/3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Using the airlines schedule predictions,<BR>\n" );
document.write( "find the probability flight time >= 135 min, <BR>\n" );
document.write( "Find z(135) = (135-125)/(10/3) = 10/(10/3) = 3<BR>\n" );
document.write( "Then P(x>= 135) = P(z> 3) = 0.00135<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "b. What is the expected flight time?<BR>\n" );
document.write( "Based on our observed times, expected flight time <BR>\n" );
document.write( "is the average flight time = (140+120)/2 = 130 minutes.<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );