Question: A quality controller knows by his experience that 10% of the items he inspects are defective. He randomly selects 30 items from the production and

A quality controller knows by his experience that 10% of the items he inspects are defective. He randomly selects 30 items from the production and wants to inspect them.

i. Calculate the expected number of defective items he is going to find.

ii. What are the variance and the standard deviation of the number of defective items that the quality controller is going to find?

iii. What is the probability that the number of defective items he is going to find is more than one standard deviation of the mean value?

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