Consider a shipment of 1000 items into a factory. Suppose the factory can tolerate about 5% defective items. Let X be the number of defective items in a sample without replacement of size n = 10 Suppose the factory returns the shipment if X >= 1 . (b) Suppose the shipment has 10% defective items. Page 173 3216* Let X and Y and have joint probability (c) Obtain approximations to the probabilities in parts (a) and (b) using appropriate binomial distributions. Obtain the probability that the factory returns such a shipment. (a) Obtain the probability that the factory returns a shipment of items that has 5% defective items

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