The first & second moments of the distribution about the value 2 are 1& 16.Variance of the distribution is​

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1. Given :– The first & second moments of the distribution about the value 2 are 1& 16.Variance of the distribution is ?

   Answer :–

   given that,

   → first two moments about 2 are = 1 , 16 .

   so,

   → a = 2,

   → u₁(a) = 1

   → u₂(a) = 16

   → u₁ = 0

   then,

   → u₂ = u₂(a) – u₁(a)²

   → u₂ = 16 – (1)²

   → u₂ = 16 – 1

   → u₂ = 15

   therefore,

   → u₂ = variance = 15 (Ans.)

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