The Poisson Distribution

[sami786]

@L0vingLifeEveryday theres two ways you could do that, u could accumulate all probabilities for three upto thirty and so that woul give u the probability of atLEAST three. An alternate option would be one minus the probability of zero, one and two- thus gives u the probability of 3 and above. REMEMBER tables can be used to make it least time consuming and more efficient- i would highly reccomend this for exam time purposes. Hope that answers your question.

[iamsopoor9]

My exam is tomorrow, why have I only found you today!!!

[patrickJMT]

@iamsopoor9 i dont know ; ) i have been here for a while now

[ScienceAndAtheism]

thanks for the video it really helped

[badshabz1]

does lambda = number x probability?

[badshabz1]

WOW you are way better then my teacher thanks man saved my life!!! subbed :)

[hsousa54]

Thank you. My prob and stat class is a joke. I needed this haha

[mdhalloran]

@Koni804 the ! is the factorial. ex: 4! = 4x3x2x1 = 24

[Koni804]

on the bottom on the formula the ! (i.e 1!) what does the ! mean

[csscye]

thanks!!! now i can finish my assignment

[Milioo93]

When do you use the Binomial dis. and when do you use Poisson?

[jennawilson22]

You are my hero!!!

[CamiAnn585]

how did you account for the time period?

[gunny0488]

@CamiAnn585 the r value = 9 minutes

[altocirrus]

Thanks for the simple and effective explanation. You're way better than my instructor. =)

[afrodisiash]

omg Biostats exam Wed... this helps alot! Thanks

[walter17171]

hi my statistics class is a extremely limited on how to perform calculations this is what a practice quiz question asked. i'm just stumped as what value goes where in the poisson distribution formula. can you please help?

Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 5. Find the probability that exactly four babies will be born during a particular 1-hour period at this hospital.

[Milioo93]

@walter17171 ((e^-5)*(5^4))/(4!) According to the Formula ((e^-u)*(uˆx))/(x!) where x stands for the succeses and u for the mean

Hope i'm not to late, and hope it helps

[wjdhollow]

patrick, you are the best thing to happen since cramster

[KaneAzlan]

How do you calculate all those decimal values?

[KaneAzlan]

You're a leftie. No wonder you're smart!! Thank for the videos! :)

[stidged]

When youtube explains things perfectly when professors and $100 handbooks can't, you know somethings wrong

[drkdrknox]

MATH IN HD

[mss3331]

I like you when you say "probability" ...ur accent......;P

[yucky1336]

patrick would you mind doing some more poisson problems thankssss

[hadarnik]

well, you sure did help a lot to my understanding of Aloha protocol :)

thank you! you're awesome.

[eminemineminem]

but what if they have special discounts on burger meals?

[silentnodes]

thank You...so simple explanation...

[milothemicrobe]

Thanks, that's one of the clearest and concise explanations I've seen.

[mauroprovatos]

would it be correct if we found the cumulative Fby differentiating f and then computing 1-F(4) ?

[martymac13]

@mauroprovatos The cumulative F would be the integral (not derivative) of f, but since we are talking about a discrete function, derivatives and integrals don't make sense. 1 step differences and summations rather.

[matinaeau]

JMPatrik always bailing me out. Thank you so much.

[RussellsParadox]

So, what's the probability that, say, sixty-three trillion people will enter the restaurant in a given nine minute period?

[budgieboy190]

LEGEND cheers!!!

[budgieboy190]

LEGEND cheers!



[brankin1]

you're one helpful motherfucker.

[Killtaris]

thanks a lot for this video, i feel smarter , and I am now sure that my teacher is really bad to explain statistics

[HaRtBrEaKiiiD]

omg thanks man you helped me in my quantitative methods work :D

[HaRtBrEaKiiiD]

There is a symbol pronounced as "mew", which looks like a M and an U, can it replace the λ ?

[MrLars992]

@HaRtBrEaKiiiD yes

[Wuzimu4444]

I've been studying for my statistics midterm and all these videos are really helping me understand all the practice questions I'm doing. Srsly, y'all my hero.

[artistdigital]

lambda times and x occurances?? whats the difference between both?? 8/

[Lighthouse1804]

I've learned a lots from your videos. Hope to see more video like this. Thanks!

[idster7]

0! is a non-zero number? i didn't know that. 

[patrickJMT]

@idster7 it is equal to 1 by definition

[idster7]

@patrickJMT okay, thank you.

[binaya394]

@patrickJMT 

[joaquin174]

is there any explanation as to why its not zero?

[memeob]

thank you so much you are a life saver!

[isthisnicktaken]

Man, watching someone write with their left hand really feels awkward for me.. :) hehe

Very good video!

[danyjohns3]

hello my question is with the poisson dist. where did you get the numbers .0025, .0149, .0446, 0892 and .139=

=.2851 of final answer .285 or 28.5% with the resturant question

thanks

[lemuriavi]

@danyjohns3 he calculates the expression one by one. and sum them up.

[JVinci16]

Good video! If you decide to make another video on poisson distribution, maybe add a part at the end where you can just use cumulative poisson probability tables and calculate stuff like P(at LEAST 4 customers come in 9 mins) or P(EXACTLY 4 customers come in) or P(at MOST 4 customers come in). This would be even more helpful! Keep up the good work!

[icriedherariver]

thanks alot dude! :D

[TheENERGYartist]

hmmmm... so to calculate the probability of 0 people coming in you would subtract all probabilities up to 6 from 1?

[MrBenloves]

may i know what's e? in the formula..

[patrickJMT]

@MrBenloves e is a number... e = 2.71.......

[MrBenloves]

@MrBenloves my teacher say that it is 2.71828

[patrickJMT]

@MrBenloves ok. it is an irrational number, like pi; it just keeps going and going

[Romeowasbleeding1]

@patrickJMT

My teacher say that it is e= 2.718281828....

Lol just kidding ;)

[AquaticSkipper]

@patrickJMT

But what is lambda? My teacher says that it is 4

Haha. Thank you for this, until now any information I found on it wasn't very concise

[krogan92]

@AquaticSkipper Lambda is just notation for the average, making it relative to the problem you're working on.

[djabfalo]

@MrBenloves: e is a rational number 2.718281828..., it has a recurring decimal

[sports1386]

@MrBenloves okay I in the process right now in statistics class very difficult for me without the visual but i have learned alot just by your visual thank u but i dont understand how u got the = .0025 + .0149 + .0446 + .0892 + .01339 for each answer how do u calculate that ona calculator or by steps

thank u

[sports1386]

@MrBenloves i have a feeling i will be visiting your site alot!!!!!!!!!!!!!!

[atreyukicks]

@MrBenloves e can be expressed as the series (1+(1/n))^n If you take the limit to infinity you will get the magical math number that is everywhere, e.

[memeob]

well done good! job the world needs people like you

[robLxtina]

how did you work out .0025 etc. on your calculator? i cant get it?

[TheENERGYartist]

@robLxtina remember order of operations, the "!" means factorial ex. 4! = 1x2x3x4 5! =1x2x3x4x5, there is also a button for e

[oystchc]

Excellent, thanks. Now I get why the Excel function accepts a true or false argument for cumulative.

[richiehamburg]

thx

[cakeisreal]

i have no idea why there is a 720p option

[tudypavel]

@cakeisreal he's just awesome like that

[AquaticSkipper]

@cakeisreal

See that sweet ink better?

[afterdeth]

@cakeisreal so you can count his arm hairs. duh.

[lecolis]

@cakeisreal its called high quality, high definition math edcuation.

[lynntrull]

I'm kinda new to this and I am stuck on the "e". What does it represent?

[btq88]

@lynntrull its Euler's constant and it is equal to 2,71828183

[xiangyik]

@lynntrull E is the base of the natural logarithm -- its a transcendental number, like pi. (Unless I'm mistaken)

[norhayla]

thanks a lot for this..i hope u also posted a gamma distribution,exponential and chi-square..it seems so hard w/ all the parameters and whatsoever..haha..pls...i want to learn those..thanks!!^_^

[NissanAltima2005]

Just to say thanks

[sapnyosentry]

Why can't more teachers be as easy to understand as you? Great job at explaining how to do this. Gonna see if you have any other stat videos lol, gotta take my stat final tomorrow :D

[antinvasion]

This was really helpful - my lecturer's notes and my understanding from class were nowhere near as helpful as your video. Thank you so much - you saved me a lot of time & stress and I actually understand how it works now.

[KEKETULLAH]

concıse and elıgıble.

[SVishal7]

thanks man helped alot!!!!! and awesome ur a lefty like me!!!

[TouchupQueen]

Isn't this the exponential distribution? Isn't the Poisson distribution with mean and the exponential with the parameter?

I'm probably wrong.. but could you maybe explain the difference?

Thank you very much

[eva1304]

Wow... this really helps me alot... I missed the whole lesson and this gives me an idea of what Poisson Distribution is... Thanks

[Nightvein]

Why don't you have a section in your playlist for statistics?

[sayedsab]

Excellent video. Do u have any videos about Jackson's theorem?

[leeren123]

vampySARAH - I think your lambda is ~ .266666....

If 1 flaw occurs every 300 sq feet and you have 80 sq feet (8*10). The prob of a flaw in your piece on average is 80/300 * no of flaws.

I think :-s

[vampySARAH]

thank you soooo much !!!!!! that HELPED a lot !!! XD

[leeren123]

;-)

[vampySARAH]

im stuck :( cant figure out the lambda thingy in the my problem ...

Q: flaw in a carpet tend to occur randomly and independently at a rate of one every 300 square feet. what is the probability that a carpet that is 8 feet by by 10 feet contains no flaws??

please if anybody has a clue on whats going on ...

[thatscrazypoop]

Thank you so much for your excellent videos!

I just have one question (for now!). If your question had read 5 or more customers or more than 4 customers would you have worked it out in the same way and subtracted your answer from 1?

[nepatriots77]

Damn I need to know this stuff for actuarial science!!!!

[niatots]

thankssss!!!!! youre great!

[terrywoodinc]

Once again, thank you patrick. Question: how do we know which events follow which probability distribution?

[DECBAAH]

Poisson can be used with time period questions like in the video, Binomial tends to be with distributions where the number of trials are known and you can estimate to a Normal distrupbution when there is a large number of trials, usually over 20, and or the probabiliy is roughly 0.5

[willog87]

Damn lefty! Blocking the writing!  lol

[savagepapaya]

Or ambidextrous.

[bdub24j]

Thx for the vids. You make this look and sound so simple, whereas the school books tend to confuse. Think I'm a stronger visual learner.

[youtubielol]

suppose traffic accidents occur once every 100 days at an intersection.. would I use this distribution to find the probability that 4 accidents will happen during the next year at the intersection?

[11Agamemnon235]

Is there a reason why you used a semicolon in f (x ; lambda) ?

[mycelthedudex]

patrickJMT,,,,thaaaaanks a looot dude....you rock....=D tnx for ur effort....and could you please tell me how do you know when you should use binomial, normal or poisson distribution? Whats the diference? I think it has something to do when x is lower or bigger than some number instead of equal...^^ but i dun know

[ck16845]

thanks a lot! but i have a small question. How do u know whether you should use binomial distribution or poisson?

[patrickJMT]

well, it just depends on what situation you are trying to model!

there is also an interesting connection between the poisson and binomial distribution for large sample sizes!

[ElPIBELEO]

THANK YOU MAN

[pitty031]

Pat, you rock my man.. Keep up the good work!

[tuestresfat]

I'm a lefty too! :D:D:D

[rctriplefresh5]

can you make a balancing chemical equations video? im going to be doing these in chem 1011 next semester and i am goodd with the simple equations but not the really complex ones.

[potatostiks]

GO MATH!!!

[timar03]

this is way ahead of me but im still gonna ask.

e is the eulers number ?

nice vid thx

[Kakashinoor]

Yes, e is eulers number.

[Josh42222]

Great Vid! i was thinking of this concept before and find it cool now that there is a formula for this. Thx for the vid!