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A bag contains a large number of balls, each with one of the numbers 1, 2 or 5 written on it in the ratio 2:

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A bag contains a large number of balls, each with one of the numbers 1, 2 or 5 written on it in the ratio 2: 3:4 respectively. A random sample of 3 balls is taken from the bag. The random variable B represents the range of the numbers written on the balls in the sample. (i) Find P(B = 4) (ii) Find the sampling distribution of B.

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