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Sir i am stuck for this question (b) A company has a large batch of defective components returned from its customers. The defects of the

Sir i am stuck for this question

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(b) A company has a large batch of defective components returned from its customers. The defects of the components are classified into major or minor. It is known that 21% of the defects are major and the remaining are minor. The probabilities that a major defect and a minor defect can be rectified are 10% and 64% respectively. (i) Suppose a defective component is selected randomly from the batch. Find the probability that the defect of the selected component can be rectified. Correct your answer to 4 decimal places. (2 marks) (ii) Suppose 8 defective components are selected randomly from the batch. Find the probability that there are exactly 6 minor defects among the 8 defective components selected. Correct your answer to 4 decimal places. (2 marks) (iii) Given that 10 randomly selected defective components are all having minor defects. Let Y be the number of the selected defective components that can be rectified. Find the variance of the random variable Y. (2 marks)

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