RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 33. Binomial Distribution

Subject: Maths - Class 12th

Q. No. 14 of Exercise 33.2

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14

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


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