51. Chebyshevs inequality, (see Exercise 44 Chapter 3), is valid for continuous as well as discrete distributions.

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51. Chebyshev’s 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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