NIMCET 2012 Question Paper with solutions

Question : 32 of 120

Marks: +1, -0

Suppose values taken by a random variable X are such that a <

x_i

< 6, where

x_i

denotes the value of X in the i th case for i = 1, 2, 3, .n, then

Solution:

Since, standard deviation (SD) < Range
⇒ σ ≤ (b - a)
⇒

σ^2

≤

(b-a)^2

⇒

(b-a)^2

≥

σ^2

(b-a)^2

≥ Var (X)

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