Three airlines serve a Srinagar. Airline 'Amira' has 50% of all the scheduled flights, airline 'Biyas' has 30%, and airline 'chinar' has the remaining 20%. Their on-time rates are 80%, 65%, and 40%, respectively.

Part 1) Draw the Probability tree diagram. (Note: You may use any software for this, like MS paint, MS office, etc.) Part 2) A plane has just left on time. What is the probability that it was airline 'Amira'?