Having trouble internalizing the last sentence from my textbook's snippets:

I would like to understand it visually (e.g.: probability distribution graph, is at MAX., now look at the points, ...).For a binomially distributed random variable , it can be shown, that the following holds:

(16)

[...]

Chebyshev:

[...]

From(16)it is obvious, that the probability of a complementary event, i.e. the random variable having value which differs from for at least , is at most .

BTW, I've also found a similar thread, but could not work out the proof forTheorem 4from .pdfmr fantasticprovided:

. Why does the hold?

PS: Please, feel free to correct any grammatical mistake you find.