Question: Continuing Problem 5, define the statistic Ud to be the number of categories i with Ni < d. Express the right-tail probability Pr(Ud j)

Continuing Problem 5, define the statistic Ud to be the number of categories i with Ni <

d. Express the right-tail probability Pr(Ud ≥ j)

in terms of the distribution function of Wd. This gives a method for computing p-values of the statistic Ud. In some circumstances Ud has an approximate Poisson distribution. What do you conjecture about these circumstances?

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