In Exercise 17, let Xi denote the number of times that the ith type outcome occurs, i

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In Exercise 17, let Xi denote the number of times that the ith type outcome occurs, i = 1, . . . , r.

(a) For 0 ≤ j ≤ n, use the definition of conditional probability to find P(Xi =

xi, i = 1, . . . , r −1|Xr = j).

(b) What can you conclude about the conditional distribution ofX1, . . . , Xr−1 given that Xr = j?

(c) Give an intuitive explanation for your answer to part (b).

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