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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What will be an ideal response?
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