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I would like to know the probability of Rain tomorrow but only have data conditional on...

I would like to know the probability of Rain tomorrow but only have data conditional on 4 temperature ranges: cold, moderate, warm, hot. The probability of any of these 4 ranges being the case is .25. The probability of Rain given cold is 0.2, P(Rain | moderate) = 0.25, P(Rain | warm) = 0.45, and P(Rain | hot) = 0.2. Use the marginalizing equation to find P(Rain).

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