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Suppose that 2 batteries are randomly chosen without replacement from the following group of 9 batteries: 3 new, 4 used (working), 2 defective. Let X denote the number of new batteries chosen. Let Y denote the number of used batteries chosen. a. Find the joint probability distribution, 𝑃(𝑋 = 𝑥, 𝑌 = 𝑦). b. Find 𝐸[𝑋].