Data Science & Statistics Tutorial: The Poisson Distribution

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When we measure the occurrences of an event over a certain period of time or distance, we are often left wondering if what we observe is surprising. The Poisson Distribution helps us determine the likelihood of specific discrete outcomes based on a given historical average number of occurrences. For instance, we know that the average firefly lights up 7 times over the course of 20 seconds. With this distribution we can determine the extent to which it will be out of the norm if it lights up only 4 times during that interval. Being able to spot unusual frequencies of recurring events will help us determine whether something is worrisome or not and if we should further investigate the problem.
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#datascience #statistics #tutorial

[@365DataScience]

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[@nazifataha8868]

Wish you explained how the formula came about but nonetheless thank you for the visuals and clear explanation

[@farrys8487]

The croissant distribution

[@xash3000]

Hahahaha

[@kejnextdoor]

HAHAHAHAHA

[@moncboi8471]

lol

[@lee3929]

I can't focus anymore

[@kasala965]

this comment finally made it clear to me how to pronounce poisson properly.

[@Apuscus]

Thank you so much! Such clear, coherently and simple explanation!

[@a103yo]

Clear, simple and concise. Brilliant explanation. Very useful!!

[@365DataScience]

Glad it was helpful!

[@sanjeevb007]

5 minutes and i had it all...Thanks 365 Data Science.!!!

[@jasonroggy4393]

your videos are interesting ! i like them ! its one of the best that i see

[@rimed5718]

Very helpful, I like the clarity

[@heilapaulino7602]

So useful! Thank you.

[@bhaveshohal3390]

Thank you Sir, the video was good

[@wallis5955]

Very well put together

[@YatharthPatil_14]

Clear and Concise

[@shrexy8095]

Brilliant!

[@venus8331]

So underrated channel

[@charleskidney4279]

Good video, cleared up a lot for me. However still lost on those formula's

[@yingzpiration]

Is there a reason why you uploaded 2 Poisson Dist video in your playlist? Or is Exponential Dist missing?

[@hahaeggplanet12]

thank you!

[@_clergyman]

thank you

[@naolgizaw8261]

Thank you man

[@aryaagrawal4889]

oh my god!!...you really rock!..loved this

[@raghuk1523]

Very useful 😃

[@smitshah8074]

thank you sir

[@Oceansteve]

useful video.. subscribed.

[@btbbbiologythebrainbuffer6012]

Helpful ✌✌🙏

[@antonbreugel3332]

AMEN DUDE

[@keym3955]

Thank you.

[@balavigneshm6111]

Can you please make the Probability Mass function and Probability density function videos.

[@AkulSamratbluechip]

Great

[@jiminworkaholic82]

THANKS MY FRIEND😼

[@hasannazarov4992]

Usefullll !!!!

[@user-ui7ff7eg8l]

What if I had example: First day there is 3 students asking question, second day there were 5 students asking question. Do i take lambda to be 4 (as average) ?

[@gauravjoshi3566]

nice

[@Amit17utube]

What's the solution to the firefly problem? Is it .8% probability?

[@Theprime-1234]

could you make videos on this distributions Geometric Distribution Hypergeometric Distribution Negative Binomial Distribution Continuous Probability Distributions Uniform Distribution Exponential Distribution Laplace / double-sided exponential Cauchy Distribution Gamma Distribution Rayleigh Distribution Beta Distribution

[@valots]

Now is right :)

[@MatLICEABECERRILSANTIAGO]

are you gonna finish that (french accent) poisson?

[@aiax742]

IT'S PRONOUNCED EULER

[@shritishaw7510]

aren't ya the same guy, who advertises for Simplilearn!?!? btw the content is very lucrative.

[@yavarjn2055]

We need to know where the equations come from.

[@jooao_guerra]

Nice video! By the way, I tried to calculate the probability of a fly lighting 8 times in 20 seconds. I didn't know exactly how to do it so instead of lambda = 3 (3 lights/10 sec), I used lambda = 6 (6 lights/20 sec), which gives us a probability of 25.6%. Can anyone help me? Is it correct?

[@plasticflower]

Well, if you plug those values, λ=6 and y=8, you should get 10.32% as the chance for getting exactly 8 times or am I wrong? I checked with an online poisson calculator and it seems like 25.6% is the chance of getting 8 or more times in 20 seconds? What exact formula did you use? (All that is of course, assuming we can just scale 3/10 up to 6/20 which is an assumption I'm not sure is OK. I mean consider if we asked about the odds of getting 4 times in 10 seconds, where 3/10 was the expected value? We get around 16% so I'm not sure we can scale things up and down that way...)

[@jooao_guerra]

@@plasticflower Hi. Thanks for the reply (I don't remember which formula I used). By the way, are you a mathematician, a statistician or something like that? You seem to have some knowledge in the area, and I just happen to be struggling with another stathistical problem. Could you give me a brief help? I can explain it to you in detail in some of your videos' comment.

[@plasticflower]

@@jooao_guerra Hey, no I'm just taking a course on statistics at the moment, so I don't really have any deeper knowledge. But if there's another problem you could just post it here and maybe I can give you an idea or another angle? No promises though :P

[@sebastiankraust6236]

When given a rate, you scale it up to the desired unit of interest (in your case 20 seconds). Lambda is the expected value, so in a 20 second interval you would expect to see 6 occurences, therefore λ = 6. Then, Pr(X=8) = 0.103258. Source: en.wikipedia.org/wiki/Poisson_distribution#Probability_mass_function

[@mukeshpant8669]

👍

[@scottsmith4006]

OILER It's pronounced "oiler," not "you-ler." That's my only complaint.

[@moncboi8471]

hahaha... I almost missed it

[@TheGroundskeeper]

I know I’m a stickler guys, but any math person is going insane right now. I have to say it. It isn’t Yuler’s number. It’s Oiler’s number. Euler->Oiler. 🤬

[@Captinofthemudslayer]

how would you do this Say you started a KZbin channel about a year ago. You’ve done quite well so far and have collected some data. You want to know the probability of at least x visitors to your channel given some time period. The obvious choice in distributions is the Poisson distribution which depends only on one parameter, λ, which is the average number of occurrences per interval. We want to estimate this parameter using Maximum Likelihood Estimation. Simulate 100 visits to your youtube channel, assuming that they will a Poisson distribution with a mean of 10 visits per minute. Plot the arrival time vs visitor index.

[@randaya5854]

The only thing that you didn't nail is pronouncing Euler. It's pronouned as "oiler" not U-ler. But overall, I like the content.

[@oedhelsetren]

Euler is pronounced oy-ler not yu-ler.

[@scottlapier4797]

Is anyone else here after starting Gravity's Rainbow?

[@memming]

Good stuff, but the pronunciation of 'Euler' is very wrong...

[@mathyouforgot]

i feel this video ended a bit early.

[@marwanalameri5344]

Where transition

[@NobdyInfinite]

*translation

[@phenomenalphysics3548]

Where did the formula came from? Oh is this an engineering tutorial? Sorry for asking proof but please

[@dukashraj9693]

why use lamada and what mean

[@ThinkLikeaPhysicist]

I've got some videos on the Poisson distribution and its derivation, in case you're interested.

[@Gruemoth]

*Euler* is pronounced *Oi-ler* not *You-ler.* Great explanation otherwise

[@TBoy205]

pronounces poisson correctly, can’t pronounce euler correctly

[@George-rq1yp]

half-backed explanation, not impressed at all