You are traveling from San Francisco to Casper Wyoming with

You are traveling from San Francisco to Casper, Wyoming, with a change of planes in Denver.

Your arrival time in Denver is uniformly distributed between 12:00 noon and 1:00 PM. Your con-

necting ight leaves Denver between 12:30 and 1:30 PM and the departure time is also uniformly

distributed and independent of the arrival time.

(a) Assuming you require 20 minutes to change planes, what is the probability that you will

make the connection?

a) Prob for making the connection = 1- prob not connecting

= 1- (x-y <20 mint) As 20 minutes is required to connect

=P(x>12.10 and Y<12.30 )

= 5/6(1/6) = 5/36