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Statistics Assignment Help With Chebycheves Inequality

The role of standard deviation as a parameter to characterize variance is precisely interpreted by means of the well known Chebchev’s inequality.

Theorem:

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If X is a random variable with mean μ and variance σ2, then for any positive number k, we have

chebycheves inequality

Or chebchevs inequality

Proof:

When X is a continuous random variable. By definition

continuous random variable

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