Probability Density Function of the Normal Distribution

[roccellarocks]

Have never had anyone in my entire student career that explained math with such clarity and passion. I have been seeing this entire video at half past midnight and this felt interesting, not frustrating!

[wesleydupreez]

Never in all my life, has a teacher explained mathematics in this way. The "adding" of different rules to augment the behaviour of the graph is so helpful for students who want to understand the REASON for the behaviour.

[vinyasshreedhar]

If only I had a teacher like Eddie Woo, I would have certainly taken Maths as my honours. When I first looked at the PDF of normal distribution, I fainted thinking its only people at PhD maths level could decipher. Now it makes sense how it came into picture so easily. I am a huge fan of Eddie😊

[inexteducation]

13:08, Sir Eddie said, it is not an exclamation sign but a mathematical notation, okay! It's called Factorial.
I laughed so goddamn hard! You are really AN AMAZING TEACHER! LOVE YOU MAN!

[sibusiso]

The Normal distribution equation was really daunting at first but you really clarified and derived well and simplified things a whole lot more. Thank you so much.

[sreyag]

OMG!!! such a neat and crisp explanation!! Thanks sir!

[TILearningCentre]

Eddie - At 1:25 you eliminate trigonometric functions (no horizontal asymptote), but arctan(x) has a horizontal asymptote. Graph the function pi/2-arctan(x^2) and you get something that looks remarkably similar to the normal distribution. If you include a dilation of 1/(pi.root(2)) the function has a definite integral of 1 over the domain (-infinity, + infinity). Now you will need to graph it against the "normal" distribution to see that it is actually different.
Now consider the graph of 1/n - 1/n tanh(x^2/n) and you get something even better. Of course this might be thought of as cheating since the tanh(x) is related to e^x ... and hence why we cannot eliminate trigonometric functions from the mix so easily.

[paulbrown]

You Aussies are very lucky to have a teacher like Eddie Woo

[dalipmudhar]

Omg I have an applied test this week and this just came in clutch. Tsym Eddie.

[tonnynyaoke]

I feel lucky I came across Woos content, this is just a life saviour. So simple.

[pratibhas]

I just don't have words to express how exceptional your style of teaching is... Never had a teacher this passionate who sort of untangles all the complicated stuff step by step in an orderly way so that students can actually understand the concept. Thank you so much sir! I really really appreciate the effort you put in.. 🙏🏻🙏🏻 You might never see this but I just couldn't help but say it 🥰🥰

[alizarind]

I wish i had any teacher like you in my life. How passionate seem.

[rmcgraw]

U R a good teacher. U explain it such that I can UNDERSTAND it, not replicate it from memory. With such knowledge, I can derive usage of this in other theoretical applications. Most people memorize, but I don’t ever remember it unless I UNDERSTAND its applicability. Thanks. I want to learn more about the CDF and how you arrive at it using the PDF. I think you’re going to use an area under the curve, but am not sure.

[vanshikasinghal]

I wish I had teachers like him. These kids are literally so lucky

[sagarikabiswas]

OMG wow! I never in my life knew that this could be traced down in this way. Thank you so much.

[anushgopalakrishnan]

what kind of class is there where they know what integrals are but don't know what factorials are?

[Jacked_R_Us]

Honestly Eddie you explain everything so well

[juancer_]

wow is incredible how much out educational systems differs each other, I know what a factorial is but I have never studied the normal distribution... thanks!!

[nicolasflores]

One of the best math videos on youtube hands down 🔥

[danielsoares]

Its really blew my mind, you made Gaussian standard distribution something easy to understend, thats the thing, thx!