RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 33. Binomial Distribution

Subject: Maths - Class 12th

Q. No. 1 of Exercise 33.2

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1

Can the mean of a binomial distribution be less than its variance?

Let X be a binomial variate with parameters in and p.


Mean = np


Variance = npq


Mean - Variance = np – npq


= np(1 - q)


= np2 > 0


So, Mean – Variance > 0


Mean >Variance


So, mean can never be less than variance.


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