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

= 200

Standard deviation =

= 14

So, the expected number of defective items = 200

Standard deviation = 14

14