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7. (10 pts) Suppose I place 10 identical balls into 3 bins. Each ball is placed independently with probability pi 20 of going into

7. (10 pts) Suppose I place 10 identical balls into 3 bins. Each ball is placed independently with probability pi 20 of going into bin i; assume p1 + p2 + p3 = 1. Let N1 + N2 + N3 = n record the number of balls that end up in each bin. Let E1 be the event N1

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