Chebyshevs inequality, (see Exercise 44 Chapter 3), is

Chapter 4, Problem 4.59

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Chebyshevs inequality, (see Exercise 44 Chapter 3), is valid for continuous as well as discrete distributions. It states that for any number k satisfying k 1, P(X k) 1/k2 (see Exercise 44 in Chapter 3 for an interpretation). Obtain this probability in the case of a normal distribution for k 1, 2, and 3, and compare to the upper bound.

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