Refer to Chebyshev's inequality given in Exercise 44. Calculate P( |X - | > k) for k

Question:

Refer to Chebyshev's inequality given in Exercise 44. Calculate P( |X - µ| > kσ) for k = 2 and k = 3 when X~ Bin (20, .5), and compare to the corresponding upper bound. Repeat for X~Bin (20, .75).
In Exercise 44
A result called Chebyshev's inequality states that for any probability of an rv X and any number k that is at least 1, P(|X - µ| > kσ) < 1/k2. In words, the probability that the value of X lies at least k standard deviations from its mean is at most 1/k2.
Distribution
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