A list of the world's 10 largest companies, in terms of value, contains 5 from the United

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A list of the world's 10 largest companies, in terms of value, contains 5 from the United States, 3 from China, and 1 each from Germany and The Netherlands. A potential investor randomly selects 3 of the companies to research further.

(a) Find the probability distribution of X, the number of United States companies selected.

(b) Determine the mean and variance of X.

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