Chebyshev’s inequality (Section 2.4) states that for any random variable X with mean µ and variance , and for any positive number Let Compute for the values k = 1, 2, and 3. Are the actual probabilities close to the Chebyshev bound of or are they much smaller?

What will be an ideal response?




The actual probabilities are much smaller than the Chebyshev bounds.

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