33. Components of a certain type are shipped in batches of size k. Suppose that whether or...

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33. Components of a certain type are shipped in batches of size k. Suppose that whether or not any particular component is satisfactory is independent of the condition of any other component, and that the longrun proportion of satisfactory components is p. Consider n batches, and let Xi denote the number of satisfactory components in the ith batch (i  1, 2, . . . , n). Statistician A is provided with the values of all the Xi s, whereas statistician B is given only the value of X  gXi. Use a conditional probability argument to decide whether statistician A has more information about p than does statistician B.

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