You have booked a flight for tomorrow, but now there are some risks that it might be cancelled due to two factors: typhoon and strike. Your estimate on flight cancellation due to the weather, i.e. typhoon, is 20%. Independently, the probability of cancellation due to strike is 50%. a) What is the probability that there will be a flight cancellation due to one or both of the factors? b) How unpredictable is it that the flight is cancelled, either due to the weather or the strike (or both)? Answer in terms of Entropy, measured in bits. c) You realized that you can find out on the airport website tomorrow morning if there will be a strike or not (which we can assume reliable). What is the expected information gain from checking it on the website

You have booked a flight for tomorrow, but now there are some risks that it might be cancelled due to two factors: typhoon and strike. Your estimate on flight cancellation due to the weather, i.e. typhoon, is 20%. Independently, the probability of cancellation due to strike is 50%. a) What is the probability that there will be a flight cancellation due to one or both of the factors? b) How unpredictable is it that the flight is cancelled, either due to the weather or the strike (or both)? Answer in terms of Entropy, measured in bits. c) You realized that you can find out on the airport website tomorrow morning if there will be a strike or not (which we can assume reliable). What is the expected information gain from checking it on the website

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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