Answer to Question #139526 in Statistics and Probability for lord

Question

. John is a very forgetful person, especially when it comes to his umbrella. Suppose that in the town where John lives, the probability that it is raining on any given day is 0.6. Furthermore, suppose that on 40 percent of all days, it is both raining and John has forgotten his umbrella, leaving it at home.
3.1 Calculate the probability that on a rainy day, John will forget his umbrella.
3.2 Suppose John realized that given it is not raining, he has not forgotten his umbrella 80 percent of the time. Find the probability that, regardless of the weather, John forgets his umbrella.
3.3 When he was driving to work, John realizes that he has forgotten his umbrella. Knowing this, what is the probability that it is raining outside?

Answer 1

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