One of the most beautiful results of probability theory is Markov’s inequality (after the Russian mathematician Andrei Markov (1856-1922)): If X is a non-negative stochastic variable (X ≥ 0) with a finite expectation value E(X), then for every a > 0 P{X ≥ a} ≤ E(X)/a If the production of cars in a factory during a week is assumed to be a stochastic variable with an expectation value (mean) of 50 units, we can – based on nothing else but the inequality – conclude that the...
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[embedded content] This live performance remains unequalled to this day. Jussi Björling — the greatest of them all.
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[embedded content] Still, after more than 40 years, the greatest Christmas duet ever recorded.
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