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.

(b) Given that your arrival is before 12:30 PM, what is the probability that you will make the

connection? (Remember, you still need 20 minutes to change planes.)

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