Suppose n points are selected at random and independently from a unit cube. Let N A be

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Suppose n points are selected at random and independently from a unit cube. Let NA be the number of points fallen in a region A in the cube.

(a) Does this point process satisfy the complete randomness condition (1.3.1)?

(b) Find the intensity μ(A), and the probability that all points will fall in the unit ball inscribed in the cube.

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