Question

The probability of a component from a production line being defective is 0.05. (a) Find the probability that, in a sample of 10 components, there are 2 that are defective.

(b) Use a suitable approximation to find the probability that, in a sample of 100 components,there are 5 that are defective. (c) A different production line has 18 defective in a sample of 50. Find a 95% ConfidenceInterval for the proportion of defectives coming off the production line.

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