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5) (20 points) Suppose that a subset of 4 balls will be randomly drawn, without replacement, from an urn initially containing 3 balls of each

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5) (20 points) Suppose that a subset of 4 balls will be randomly drawn, without replacement, from an urn initially containing 3 balls of each of 5 different colors (so 15 balls in all). Letting X be the number of colors which will be observed in the randomly drawn subset, what is the value of E00? (So if 3 blue and 1 green ball are obtained, X takes the value 2.]

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