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3. Suppose we have n i.i.d., uniform-(0,t) random variables. Place these random variables on the interval (0, t]. Let 0 = 80 < 81




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3. Suppose we have n i.i.d., uniform-(0,t) random variables. Place these random variables on the interval (0, t]. Let 0 = 80 < 81 < ... < Sn1 < (0,t]. Skt. Compute the probability that there are in occurrences in J = (80, 81], 2 occurrences in J = ($1, $2], and ik occurrences in Jk = ... 9 = (Sk1, Sk]. That is, compute P{N(J) = 1, . . ., N (Jk) = ik}. Remark: For this problem, since we are treating the n arrival times as uniform random variables, it would be better to change the N's to M's in this question.

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