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A fraction 0.014 of the output from a production line is defective. A sample of 95 items is taken. Assume defective items occur randomly and

A fraction 0.014 of the output from a production line is defective. A sample of 95 items is taken. Assume defective items occur randomly and independently.

a. What is the standard deviation of the proportion defective in a sample of this size?

b. What is the probability that the proportion of defective items in the sample will be within two standard deviations of the fraction defective in the whole population?

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