1. Suppose the actual flight times for American Airlines nonstop flights between Philidelphia and Orlando follow the uniform probability distribution. Assume the minimum flight time between these two cities is 150 minutes and the maximum time is 180 minutes. You have a connecting flight to catch in Orlando. It will leave in 3 hrs from now. You need at least 25 minutes after the flight lands to disembark and get to the next gate in order to be able to catch the next flight.

(a) What is the probability that you will make your connecting flight?

(b) If you only want a 25% chance of missing the connecting flight in Orlando, how many minutes do you need to leave from taking off in Philidelphia to the departure time of your connecting flight?

(c) What percentile are we finding in part (b)?