3. Suppose that n points are selected at random and independently inside the cube # = $...

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3. Suppose that n points are selected at random and independently inside the cube # = $ (x, y, z): − a ≤ x ≤

a, −a ≤ y ≤

a, −a ≤ z ≤ a % . Find the probability that the distance of the nearest point to the center is at least r (r < a).

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