3. Suppose that n points are selected at random and independently inside the cube = (x,...

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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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