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The probability is 0.02 that an item produced by a factory is defective. A shipment of 10,000 items is sent to its warehouse. Find the expected number of defective items and the standard deviation.
Let p be the probability of a defective item produced in the factory, so,
p = 0.02
As, p + q = 1
Given, n = 10,000
Expected number of defective items = np
Standard deviation =
So, the expected number of defective items = 200
Standard deviation = 14