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Suppose that 10% of all manufactured items produced by a certain process are nonconforming/defective and will be scrapped. A quality control manager samples 20 items from a recent production.
i) What is the probability that at least 3 but fewer than 6 items are defective?
ii) Find the probability that more than 15 items are not defective.
iii) Suppose a batch of 160 samples contains 95% non-defective items. Use a suitable approximation to find the probability that not more than 10 items are defective.
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