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1. Suppose that each time when we pick a ball, we are equally likely to pick a ball numbered 1, 2, 3, 4, and 5

1. Suppose that each time when we pick a ball, we are equally likely to pick a ball numbered 1, 2, 3, 4, and 5 (independent of earlier picks). Pick 5,000 balls, and let X be the sum of the numbers on the balls we pick.

Find approximately

a. P(14,972 X 15,044)

b. P(15,050 X 15,150)

c. P(14,825 X 14,975)

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