Thank you, Lawrence. I have no idea of why the hell most of the professors in the statistical area hates practical examples. Thankfully, you didn't get this illness. I really appreciate your videos about inequalities. =) Greetings from Brazil! o/\o
A question! What % of measurements must lie within 2.5 standard deviations of the mean as per Tchebysheff's theorem? Please show the solution. we do know the mean to begin with.
Please help me how to solve? The mathematical expectation of the number of sunny days in a year for a certain locality is 150 days. Find the probability that in this year there will be at least 200 sunny days. How will the desired probability, if it is known that the mean square deviation of the number of sunny days is 10?
I am fairly certain that calculation is wrong. Consider what happens if the problem is to find the bound on P[995 < X < 1005]. His calculation gives P > 1 - [1/(1)^2] or P >= 0. Is that saying that we can't determine anything for a bound of 1 sigma ?
@@Neonb88 His calculation is not wrong, but you are correct in saying that we are unable to determine the bounds for X if the problem is looking for something within 1 sigma. More generally, Chebychev's Inequality will only work for finding bounds that are greater than 1 sigma. (If we try using 1/2 sigma, for example, Chebychev's Inequality will tell us no new information, similar to the 1 sigma case).
Thank you, Lawrence. I have no idea of why the hell most of the professors in the statistical area hates practical examples.
Thankfully, you didn't get this illness. I really appreciate your videos about inequalities. =)
Greetings from Brazil! o/\o
Sir, it will be very nice of you if you could somehow organise the videos into different playlists.
You are a good teacher.
I agree this idea
To findout by easy way
It's beautiful work sir.
Please create playlists to find topics easily.
Great video!!!!!! THANK YOU
I feel screwed with that probability.
Same
A question! What % of measurements must lie within 2.5 standard deviations of the mean as per Tchebysheff's theorem? Please show the solution. we do know the mean to begin with.
Please help me how to solve?
The mathematical expectation of the number of sunny days in a year for a certain locality is 150 days.
Find the probability that in this year there will be at least 200 sunny days. How will the desired
probability, if it is known that the mean square deviation of the number of sunny days is 10?
Good video, but I have never seen Chebyshev's inequality in a form that looks like that at all so it is not helpful.
I am fairly certain that calculation is wrong. Consider what happens if the problem is to find the bound on P[995 < X < 1005]. His calculation gives P > 1 - [1/(1)^2] or P >= 0.
Is that saying that we can't determine anything for a bound of 1 sigma ?
yes. en.wikipedia.org/wiki/Chebyshev%27s_inequality#Probabilistic_statement
@@Neonb88 His calculation is not wrong, but you are correct in saying that we are unable to determine the bounds for X if the problem is looking for something within 1 sigma. More generally, Chebychev's Inequality will only work for finding bounds that are greater than 1 sigma. (If we try using 1/2 sigma, for example, Chebychev's Inequality will tell us no new information, similar to the 1 sigma case).
Why do you make people cram the topic,a little bit understandable approach is appreciated :)