60. Chebyshevs inequality, introduced in Exercise 43 (Chapter 3), is valid for continuous as well as discrete

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60. Chebyshev’s inequality, introduced in Exercise 43

(Chapter 3), is valid for continuous as well as discrete distributions. It states that for any number k satisfying k  1, (see Exercise 43 in Section 3.3 for an interpretation and Exercise 135 in Chapter 3 Supplementary Exercises for a proof). Obtain this probability in the case of a normal distribution for k1, 2, and 3, and compare to the upper bound.

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