Which one?

In a binomial distribution , which is greater in value: variance or mean ?

Insufficient information Variance Both are equal Mean

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2 solutions

Syed Amaan Haider
Feb 11, 2016

let x be a binomial distribution with parameters p and n then mean=n.p ; variance=n.p.q mean-variance = n.p-n.p.q = n.p(1-q) = n.p^2 => Mean - Variance >0 => Mean > Variance

Harsh Khatri
Feb 15, 2016

q 1 q \leq 1

n p q n p npq \leq np

V a r i a n c e M e a n \displaystyle \Rightarrow Variance \leq Mean

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