Exercise 2.18 A quality control laboratory randomly selected n batches of k com- ponents produced by a factory and inspe

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Exercise 2 18 A Quality Control Laboratory Randomly Selected N Batches Of K Com Ponents Produced By A Factory And Inspe 1 (21.91 KiB) Viewed 70 times

Exercise 2.18 A quality control laboratory randomly selected n batches of k com- ponents produced by a factory and inspected them for defectives. It is assumed that the produced components are independent, each with the same probability of be- ing defective. The numbers of detected defectives were respectively yı..... Yn. One is interested in the probability p that a batch of k components contains no defectives. 1. Find the MLE of p. 2. Find an unbiased estimator of p. (Hint: first find a trivial unbiased estimator of p and then improve it by "Rao- Blackwellization.")