Question: (a) Prove Chebyshev s inequality. Let Y = (X - m x ) / x and find a bound for P(IYI < k) in terms

(a) Prove Chebyshev  ̓s inequality. Let Y = (X - mx) /σx and find a bound for P(IYI < k) in terms of k.

(b) Let X be uniformly distributed over |x| ≤ 1. Plot P(IXI ≤ kσx) versus k and the corresponding bound given by Chebyshev  ̓s inequality.

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