Understanding Exponential vs Poisson Distributions

In which we discuss what a Poisson data-generating process is, the similarity in the"questions" each distribution answers, their similar parameters, and finally two interesting notes on the exponential distribution itself.

0:10 Poisson Data-Generating Process Intro
0:40 Memoryless
1:00 estimating the binomial
1:40 Questions answered by each
2:19 Random Variable of each
3:20 Parameters of each
4:55 Exponential is Gamma
5:17 Exponential is geometric
6:04 conclusion

If you found this helpful, please consider sharing with a classmate. Also please consider leaving a comment with requests for future videos or comments about this one.

[nilsodor]

Thank you!
This is exactly what was so confusing about exponential for me, that it was so similar but I couldn't properly separate it from the others!

[jackiejacquez]

Great video Michael! This was really helpful.

[jorislimonier]

This helped me while revising for my exams, thanks mate 😉

[LifeKiT-i]

your explanation is surprisingly clear! awesome!

[nockerous]

You explained this concept perfectly. I hope this comment helps you in the algorithm so more people can see your content!

[sanjeebroytonmoy]

Thank you so much for explaining these things smoothly, giving relevant examples, and finishing within such a short amount of time.

[sofiasilber]

This is great! Would love to see a video about the exponential distribution having no memory :)

[nz]

This is so concise and succinct. TY for this great video - will check out others of yours for sure!

[man]

Great explanation. Just one suggestion, Next Please show your notes on board so we can take screenshot. :)

[medsabkhi]

dude u explain maths in a cool way, thank you, this helped me a lot

[rodolfog]

Thanks for the ‘lolz’ at the end! I really needed that...
Got any videos on the Gamma or other continuous functions?
Keep up the great work!

[ArshdeepSandhuMIT]

Thank you for explaining through a very logical fashion!

[michaelbrown]

This is great, keep up the good work.

[sam.....]

Perfect, thanks!
That would be nice if you let us take a screen shot from the whole board at the end.

[TheNinjaDwarfBiker]

Great explanation! As a french speaker, I love that your fun fact is how to "correctly" pronounce it but just proceed to butcher it again lmao. But good attempt. You definitely got the PWA right but the sson part is not "San". I can't really explain more

[iingmuttakhiroh]

Thanks a lot! Ur video helps me a lot to understanding mlret

[jamesismyfriend]

Great vid!
Just an FYI, Poisson is pronounced "PWA-son"
Like how croissant is "C(r)WA-son(t)"
Or Eau du Toilet is "Eau du TWA-let"
Merci ;)

[analisecritica]

What is the resolution of this exercise:

Consider a queuing model with two attendants and a waiting position operating under steady-state conditions. Suppose that if a customer arrives and finds both agents busy and the waiting position unoccupied, then the customer will wait as long as necessary for service. If the customer finds both attendants busy and the waiting position also occupied, he leaves immediately.

Customers access the system according to a Poisson process with a rate of 2 customers per hour and that service follows an exponential distribution with a mean of 1 hour. The proportion of customers who arrive at the system and will not be served is:

a)2/5 b)1/8 c)2/3 d)2/7 e)1/6

[Kevin_Guo]

Please can you show your whiteboard next time - great video!

[sanatani]

i just want to ask when we use 人 as 1/人 and when we use 人 as direct 人.