Statistics 101: Introduction to the Poisson Distribution
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- Опубликовано: 12 июл 2024
- Statistics 101: Introduction to the Poisson Distribution
In this video, we discuss the basic characteristics of the Poisson Distribution using a real-world example involving a checkout line at a supermarket. Having a basic understanding of the binomial distribution is helpful, but not necessary. I also show you how to calculate Poisson probabilities on at TI calculator so have one handy if you want to learn how to use that function. But most of all have fun and enjoy learning!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
11:30 lambda of Poisson distribution
13:05 characteristics of Poisson distribution
21:28 probability of lambda = 10, x >= 10 (more than 10 people arrive in the queue)
26:30 bonus question: what is the time interval changes
28:30 review
Thank you for this incredibly straightforward and easy to understand video!! Also for the pep talk!! :) Do want to point out, as others already have, the green part should be 1-P(10)-P(9)...P(0), not just 1-P(10)!
I had to pause it at the beginning because I thought my spotify was still playing. Keep Rocking brandon
Note that the song is by Poison, perfect for the Poisson Distribution video
I love the fact that you always start and finish your vids with some positive, motivational advice. Thank you Brandon and keep posting your great work.
Let's go Brandon!
I have a "knowledge crush" on you and Professor Leonard. Thanks for breaking everything down and making it understandable. Very helpful.
I love how in the intro he calms your nerves before teaching, true educator.
The instructor, Brandon Foltz, is excellent. He takes his time to explain the concepts very thoroughly. I recommend him to anyone taking statistics, probability theory, and any other math topic he teaches. Thank you for taking time to explain even the obscure details.
Thats the best introduction I have ever ever heard before an educational video.
Mr Brandon Foltz, you just don't know how uplifted i feel when you encourage me to never give up as i have trouble understanding in class. Thank you so much. I almost gave up because i cant understand the lecture in class but you put it very plain and simple to understand. Thanks for everything
Brandon, I would like to thank you for your video. I had to drop this class last semester but now I feel more confident. Now I understand how to get the critical path. I did not know that those that don't have the slack are the ones that should be included in the critical path. Like this tip, I learned many other with your video. Once again, thank you....
that encouragement was so comforting, you've earned my sub:)
I searched the internet for a good Poisson Distribution lesson, among the 9 videos i watched, your video is the best, thank you so much!, you make things sound a lot easier, please don't stop, thanks again!
Wow Brandon. This video was A M A Z I N G!! Not just the knowledge you're sharing with us but your kind words of encouragement helped a lot. Thanks for these amazing videos. You rock!
I love these videos they're getting me through my statistics class I can't thank you enough for making these!!
Dear Brandon, you are good. I´ve been watching your lectures and I can say that you really make me understand statistics. Thank you very much!
Thanks Brandon. All your videos are just awesome. You explain the concepts really well.
Thank you for the pep talk, I needed that
The pep talk at the beginning of ur presentation really helped! Thnx so much!
Very helpful with my homework, my teacher is terrible with explaining so im learning business stats on my own. Thanks again :)
One of the best videos I've seen on the subject Thank you!
god bliss you for making these videos! I cant tell you how much this video has helped me understand these concepts in probability. thank you so much
You are very welcome Huda! Keep on learning. ⚡
Brandon Foltz do you have any videos regarding hypergeometric distribution? i don't seem to find any and your explanation methods are helping me so much!
Mr. Foltz, I want to thank you soooo much for making these videos!!! Thank you for explaining things so well, it is greatly appreciated!!! I'm currently taking stats online (as I am an RN getting my bachelors solely online), and hit a rough patch. My brain is tired of math and I should have taken a break before starting stats. Anyway, my worries are over now that I understand what is going on in class, THANK YOU!!!
Hello! Thank for the comment. In this video, the x=10 comes from the problem. Since we are interested in 11 or more arrivals, the "10" is the upper boundary of the part we aren't interested in and will "chop off" or subtract from 1. If you have any more questions please let me know! All the best, B.
Amazing explanation and examples. Exactly what I needed.
This is the first video of yours I've watched and your introduction was unexpected but much appreciated! Keep it up! :)
At 23:45 is not correct for the purple region, it is only for x=10. You have to add uo the propability for 0 to 10 and then subtract from 1.
he said that later that we have to take cumulative to get that result!
@@amanbagrecha even so, what he wrote is wrong. The correct is 1 - p(x=10)-p(x=9)....-p(x=0l
replay the video three times before seeing your comment. Thanks
yes, the top right of 1 - p(10) at 22:28 is wrong and misleading
Yes, thank you for restoring my sanity.
Great explanation! Subscribed
I often look for in-depth lessons and often get disappointed with all these shallow 2.5 minute videos. I finally found what I've been looking for!
Thanks for such a wonderful explanation. It is explained in the most simple way. Excellent Job Done.
Videos are perfect. Please continue.
You are the best teacher ever
your intro literally gave me so much strength thank you
Thank you very much for your help. I like the fact that you go slowly and define your terms as you go along. I am taking stats from an Ivy League professor, and cannot understand anything. Your video made stats so much easier to understand. I will definitely be checking more of them out in my course. Thanks again!
Thanks for the quick motivation on the introduction of this video! Much needed.
Thank you Sir, for creating and sharing quality video lectures. It helped me in updating my statistics subject knowledge
Thank you so much. I was having problems grasping this subject. Your video greatly helped!
I enjoy the positivity at the beginning of your video!
You are AMAZING!!! The most clear and concise directions I have found for this problem thus far! I have been searching all night for the correct answer for my "more than" equation. Thank you SO MUCH! You don't know how much this descriptive and concise video has saved my night :-) I'm taking Stats for summer, and I have a final tomorrow. Yay!! Btw, has anyone ever told you that you sound a bit like Seth Rogan? Love it! Haha
Thank you soooooo much, your example was so easy to understand and your explanation flowed very well. Thank you.
Nicely explained, thank you for the review and positive encouragement.
Thanks for the clarification on the formula. I needed to brush up on this for medical research. Figured I had better subscribe. I haven't taken statistics for 20 years!
Thanks for this. You presented the material very clearly and went through the steps at a good pace.
Very NICE & CLEAR explanation !!. Thank You !!
What a great start of the presentation, blending the song by poison.
thank you. your video helped so much and words meant a lot. needed them
what a beautiful way to start a video.. Endearing encouragement.
Thanks a lot man! I really needed that.
Hey @Brandon Foltz , It really helped me thanks for making these videos. :)
simply n very intrestingly explained!! awesome
Brandon,
I am a postgrad student and should ultimately be familiar with these topics, but alas am not (oops), your videos are extremely helpful!! They allow me to gain an understanding which can then be illustrated and re-enforced with further study.
They also just highlight small concepts which I may miss now and again in my haste to learn the subject, and your videos just easily state these step by step and am like "Duh!"
Thank you for your time in making these!!! Extremely helpful!!
Your videos are great! Thank you so much Brandon!
Good video, you explain the concept very clearly, thank you!!!!
I needed a quick lesson to help me understand the Poisson Distribution a little better . . . and this lesson did help. The pace of the lesson is good and the info seemed understandable.
well articulated material with the rich explanation. Thank you.
It certainly make my understanding for Poisson easier! Thanks
Explained very well.! A more better reason for the E(x) at or around 10 ( one of the discrete values as you have mentioned) could be the fact that E(x) converges to the mean value for infinite number of trials. Apart from this, a good job! Keep it up.
This video is awesome! Thank you soo much, now I've understood a lot more about Poisson Distribution. :D
Another excellent video!
NOTE: Textbooks often have a *table of Poisson sums* at the back. I think students should know how to look up the table values as well like they typically do with other distributions. (It's great that the calculator might have a built-in function that can do it too, but every calculator is different and some don't have that feature at all.)
Thank you so much! Very helpful! You explain it in a very simple manner. The positive message in the start was nice also. :)
I am here to get better! Thank you for the encouragement
thanks for the words of encouragement
Thank you for boosting my understanding
Even though the C.D.F is incorrect, all of the instructions before are correct. Thus, figuring out the C.D.F was not a problem. Thank you soooo MUCH
Thanks for this it helped a lot for my decision analysis module at University. Tip for those who use Excel; you can use the formula POISSON with the arguments (X, Lambda, FALSE) to easily calculate the Poisson distribution.
:)
Hi, I have to say that it is a very good introduction to the poisson probability distribution.
You are really great. Thank you for this video.
THank you a million times, thank you again! Awesome!
these videos help me i have got some knowledge of operational managemant.
This presentation was much better than the same Harvard Stats course.
Great! Thank you Benny :) All the best of luck my friend, B.
This was so helpful! Thank you so much!
Hey Brandon..thanks and keep on uploading such stuff...I liked the way you explain...Good
Hi Samuel! Oh thank so much. :) No need to feel "duh" at all. Unless made concrete this stuff just isn't intuitive on its own. But kudos to you for your hard work and if I can ever be of assistance please let me know. All the best! - B
The legend this guy !!
YOU ARE GREAT! SHAME ON MY PROFF WHOSE BOOK IS AS BAD AS HE IS TEACHING. you are a life saver.
loved the background at the end!
Very nice review; thanks for posting!
The fact that you're here means you've come pretty far in your education = feel good :-)
Thanks for the comment. I had already addressed this issue in a previous comment, but I went ahead and put an annotation in the video so no one else would be confused.
Yep, it is a really cool explanation! However, the correct number for e (which is Euler's number) is 2,718... Again, this doesn't reduce your coolness. Thanks a lot! God bless you.
Aryandhito Widhi Nugroho Thank you! Yes, typos and transpositions happen :) Thank you so much for watching and stay cool! Best, B.
Big thankyou. This is really helpful. :)
I like this video. thank you so much.
thank you so much this help me out so much to put it in your calculator go to 2nd vars poissonpdf enter lambda then a comma then you number of expected outcomes.
Brilliant video - thank you. Looking into statistics for the second time in my life now, that I actually have a purpose for it! :-) Looking into how radioactive decays can be described as a poisson distribution when described as (number of decays)/(time interval). It´s beautiful to see the distribution occur in real time in a matter of 20 seconds or less. :-)
Your videos are very good!
Once again...Thank youuuuuu Brandon !!!!
Brilliant! Thank you!!
Thanks for clearing that up and thank you for the video as well
very good video, really easy to understand
Thanks , I understood the base to construct the graph
Thanks for the upload. It was very helpful! =)
very educative, thank you so much
Thanks for the video its quite informative
Very informative and easy to understand. I should have given little bit more attention in school
Just what I needed, fantastic video!
It really helps that you put videos with proper labels, now I don't have to jump all over the internet to find an explanation, now we can finally follow the course in ascending order.
Please post more and more!
Do you recommend any books to work from for statistics, I am a Cambridge AS/A level student?
Thanks, very helpful
Thank you so much for this video. It is very much simplified, but I was left trying to figure out how the probabilities of x10 were determined. I understand it to be P(x10) = 1.
Wonderfull lecture I love it
Your stats videos are great. They are clear and helps me understand the concepts. Would you do one on bayesian probabilities as I find this hard to understand and think that you may be able to enlighten me and many others through your videos.
Wow you are truly awesome!!! I got this
Great video - thanks!
Great Job.!