Problem 1.3 (Video 1.3, 1.4, Lecture Problem) Thor is trying to determine Loki's recentwhereabouts. His approach is to go to a random planet and ask the local leader, "Has Lokivisited this planet recently?" to which they will answer either "Yes" or "No." There is oneproblem: some of the planets are secretly controlled by Loki and the leaders will lie to protecthim.The probability that a planet is controlled by Loki is 1/3. The probability that Loki has visited aplanet recently is 1/2 if he controls it and 1/4 if he does not control it. If the planet is controlledby Loki, the leader will lie with probability 3/4. If the planet is not controlled by Loki, a leaderwill lie with probability 1/5 (for their own reasons that have nothing to do with Loki).(b) Determine the probability that Loki does not control the planet and Loki has visited recentlyand the leader answers "Yes," P[CcnVnY].(c) Determine the probability that the leader answers "Yes" given that Loki has visited recently,P[Y|V].(d) Determine the probability that the leader answers "Yes," P[Y].(e) Determine the probability that Loki has visited recently given that the leader answers "Yes,"P[V|Y].(f) After some careful observation, Thor manages to identify a planet that Loki does not control.Given that the leader answers “Yes” on this planet, what is the probability that Loki hasvisited recently, P[V|Yn Cc]?

Answered: Image /qna-images/answer/d3bf7476-64a5-43f9-9451-a3e835f36b5c.jpg

Answered: (b) Determine the probability that Loki…

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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