Suppose that the 12 random variables X1,...,X12 are i.i.d.

Chapter 3, Problem 12

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Suppose that the 12 random variables X1,...,X12 are i.i.d. and each has the uniform distribution on the interval [0, 20]. For j = 0, 1,..., 19, let Ij denote the interval (j , j + 1). Determine the probability that none of the 20 disjoint intervals Ij will contain more than one of the random variables X1,...,X12.

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