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Question: please complete the following problem correctly showing all steps in...

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Please complete the following problem correctly, showing all steps in computation:

Part 4 Two random variables (35 points) {happy, sad and sample space of Y is ssunny, cloudy, rainy} The joint distribution is shown as follows. Is X and Y independent of each other? Show the calculation. (10 points) A. We have two random variables X and Y, both are nominal variables. Sample space of X is Sunny 0.4 Cloudy Rainy 0.05 Happy Sad 0.1 0.1 0.3 0.05

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