Chebyshev's Inequality intuition - part 2

[@askfskpsk]

The example is nothing with being intuitive at all. On the contrary, it is completely quantitative.

[@jeromedavidson3615]

As it should be

[@maggielin8664]

Thank you. I take it as an intuition: the left of the inequality is part of the definition of the right part.

[@gustiks]

wow ashuming so many ashumptions :)

[@ProfessionalTycoons]

just appreciate the video guys

[@indernesgud6457]

what about the probability of getting 2,3,4, and5? why do you only take the prob of 1 and 6? 2:58

[@amadeuszannissimo1669]

Maybe someone else is wondering about the same thing. 1. We can do it since we're taking out only non-negative numbers. 2. We do it, since only P(x=1) and P(x=6) are useful in showing the contradiction - look at the assumption we made.

[@RealMcDudu]

See video 1 - where he started with a dice with mean of 3.5 and var of 25/8 - and applied Chebychev's inequality to the constant 2.5 (i.e. |x-mu,| > 2.5 - he could have chosen other values, but that was just a value for demonstration) to show that it's last than 0.5 - in this part he assumes that Chebychev's inequality is false, and so it's greater than 0.5, and reaches a contradiction.

[@zingg7203]

Anything but intuition

[@raghavenderraghunathan3182]

Var(X) is not 25/8. Its equal to 2.917

[@luqmanrosli6457]

Var(x)=2.917