Question: 13. Items produced in assembly line A are defect free with probability 0.9, and those produced in assembly line B are defect free with probability

13. Items produced in assembly line A are defect free with probability 0.9, and those produced in assembly line B are defect free with probability 0.99. A sample of 200 items from line A and a sample of 1000 from line B are inspected.

(a) Give an approximation to the probability that the total number of defective items found is at most 35.

(Hint. See Example 5.4-3.)

(b) Use R commands similar to those used in Example 5.3-4 to find the exact probability of part (a).

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