5. From company records, a manager knows that the probability that a defective article is produced by a particular production line is 0.032 .
A random sample of 10 articles is selected from the production line.
- Find the probability that exactly 2 of them are defective.
On another occasion, a random sample of 100 articles is taken.
- Using a suitable approximation, find the probability that fewer than 4 of them are defective.
At a later date, a random sample of 1000 is taken.
- Using a suitable approximation, find the probability that more than 42 are defective.
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