On rainy days, Joe is late to work with probability.3; on

Chapter 3, Problem 3.33

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On rainy days, Joe is late to work with probability.3; on nonrainy days, he is late with probability .1.With probability .7, it will rain tomorrow.(a) Find the probability that Joe is early tomorrow.(b) Given that Joe was early, what is the conditionalprobability that it rained?

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