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)!
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.
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.
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.
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
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!
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....
Hello! Thank you for the comment. Given the single outcome probabilities during the first part of the video, the differentiated color coding between exact and cumulative probabilities, and the narration I assume that at 23:50 most people looking at the graph know the P(10) stands for the cumulative up to 10. Writing P(0
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!
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!
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.)
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!!!
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.
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!
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.
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
Shouldn't GREEN part be = 1 - P(10) - P(9) - P(8) - .... - P(0). At min 24, NOT 1 - P(10)? As I believe, 1 - P(10) gives probability that any number of perons enter shop EXCEPT 10. Why im not right? Im talking about 11 and more customers in shop.
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!!
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.
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!
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 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 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
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.
example is average arrival at a pizza point is 0.5 per minute. It takes 3 minutes for each customer to place the order. There are at the most 2 employees to take the order. So the states are 0 , 1 , 2:0 , 2:1 , 2:2
One more thing I noticed in the question. Why did you subtract P(10) from one when you were calculating more than 10 customers in the example from the formula? (24:20)
In that last example when you trying to find the proportional number of customers within a 10 minute window... you get 6.6 repeating. Wouldn't that no longer be considered discrete mathematics? Either way this is the best video I've seen explaining the poisson distribution. The Khan Academy video does a good job explaining how the formula is derived. This does the best job explaining how its used.
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.
Hello Brandon as you mentioned in 24:01 the area under the graph is the integral of P(x) where x -> 0 to 10 and it is not poissonpdf(10) The answer should be 1- poissoncdf(10) = 0.41696
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.
Good work. It would help to have an on screen annotation to correct the value of [e]. Its glaring and you know how to annotate. This is the first video I have seen of yours. Quite by accident.
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?
chaitanya vadigi Thank you for the comment. I think I copied a slide in this one and forgot to change / update a formula. It happens now and then. Thank you for watching though! I appreciate it very much. Best, B.
Can you change the interval to an interval that are not not within the original interval? For example instead of looking at 15 minutes (interval), look at 1 hour. Is it valid to multiple those 10 costumers times 4 to obtain hourly numbers?
Hey, good video, for your short-hand mistake you could just annotate over it with 1-(p(10,0)+p(10,1)+...+p(10,10)). That's the best way to do it. By the way, i'm studying for the Probability exam for the SOA. I'm 19, only taken one 300 lvl course and covered 1/3 of the material in it; so far, and let me tell you, your videos are the perfect length and depth for what I'll be doing/needing. You could spice the vids up with some jokes, but I understand not everyone is good at, or can make, timely jokes. But oh well.
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 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.
Hi Brandon, thank you for the video. I have a question: I understand that to calculate the P(>10) you are doing 1-P(10). BUT. The formula used here [P910)] is technically calculating the probability that 10 costumers show up in line between 4.30 and 4.45. So the answer is always 0.125, just like your graph shows. Somehow, you calculated the added probabilities from 1 costumer to 10 costumers showing up within the 15 min interval, which equals ~.57..... Using the poisson formula, and using x=10 and lambda=10 the answer is .125. Help please?
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)!
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.
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.
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.
I love how in the intro he calms your nerves before teaching, true educator.
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
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!
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....
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.
Thats the best introduction I have ever ever heard before an educational video.
your intro literally gave me so much strength thank you
Hello! Thank you for the comment. Given the single outcome probabilities during the first part of the video, the differentiated color coding between exact and cumulative probabilities, and the narration I assume that at 23:50 most people looking at the graph know the P(10) stands for the cumulative up to 10. Writing P(0
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!
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
You are the best teacher ever
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!
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.)
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!!!
One of the best videos I've seen on the subject Thank you!
that encouragement was so comforting, you've earned my sub:)
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.
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!
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.
YOU ARE GREAT! SHAME ON MY PROFF WHOSE BOOK IS AS BAD AS HE IS TEACHING. you are a life saver.
Thank you for the pep talk, I needed that
what a beautiful way to start a video.. Endearing encouragement.
Thanks a lot man! I really needed that.
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
This presentation was much better than the same Harvard Stats course.
I am here to get better! Thank you for the encouragement
Very helpful with my homework, my teacher is terrible with explaining so im learning business stats on my own. Thanks again :)
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!
The fact that you're here means you've come pretty far in your education = feel good :-)
Shouldn't GREEN part be = 1 - P(10) - P(9) - P(8) - .... - P(0). At min 24, NOT 1 - P(10)? As I believe, 1 - P(10) gives probability that any number of perons enter shop EXCEPT 10. Why im not right?
Im talking about 11 and more customers in shop.
I came to comment section to
Yeah that part threw me off
He is wrong here. It is very misleading.
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!!
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.
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!
well articulated material with the rich explanation. Thank you.
Should be 4:44:59 not 4:49:59 on slide at 7:00 mark.
Yup True.
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 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.
:)
I love these videos they're getting me through my statistics class I can't thank you enough for making these!!
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 "Keep your chin up" was needed. I've maintained a 3.8GPA until now, and this class could throw that straight out the window.
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.
The pep talk at the beginning of ur presentation really helped! Thnx so much!
I enjoy the positivity at the beginning of your video!
Thanks for such a wonderful explanation. It is explained in the most simple way. Excellent Job Done.
Hi, I have to say that it is a very good introduction to the poisson probability distribution.
Thank you soooooo much, your example was so easy to understand and your explanation flowed very well. Thank you.
Thanks for the quick motivation on the introduction of this video! Much needed.
I don't use a calc, but excel. :) A quick blip with the Excel formula after you've explained how to do it by hand would be a most helpful addition!
example is average arrival at a pizza point is 0.5 per minute. It takes 3 minutes for each customer to place the order. There are at the most 2 employees to take the order. So the states are 0 , 1 , 2:0 , 2:1 , 2:2
Your videos are great! Thank you so much Brandon!
Thank you Sir, for creating and sharing quality video lectures. It helped me in updating my statistics subject knowledge
One more thing I noticed in the question.
Why did you subtract P(10) from one when you were calculating more than 10 customers in the example from the formula? (24:20)
Thanks for this. You presented the material very clearly and went through the steps at a good pace.
Thanks Brandon. All your videos are just awesome. You explain the concepts really well.
What a great start of the presentation, blending the song by poison.
Very informative and easy to understand. I should have given little bit more attention in school
This is the first video of yours I've watched and your introduction was unexpected but much appreciated! Keep it up! :)
In that last example when you trying to find the proportional number of customers within a 10 minute window... you get 6.6 repeating. Wouldn't that no longer be considered discrete mathematics? Either way this is the best video I've seen explaining the poisson distribution. The Khan Academy video does a good job explaining how the formula is derived. This does the best job explaining how its used.
fantastica spiegazione anche nel 2024 !
Very NICE & CLEAR explanation !!. Thank You !!
Amazing explanation and examples. Exactly what I needed.
The legend this guy !!
In your explanation, you've misstated the value of e. It's 2.71828... NOT 2.1718282...
Yeah that was like a rookie mistake.
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.
It certainly make my understanding for Poisson easier! Thanks
Thank you so much. I was having problems grasping this subject. Your video greatly helped!
Hello Brandon as you mentioned in 24:01 the area under the graph is the integral of P(x) where x -> 0 to 10 and it is not poissonpdf(10)
The answer should be 1- poissoncdf(10) = 0.41696
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.
these videos help me i have got some knowledge of operational managemant.
Good work. It would help to have an on screen annotation to correct the value of [e]. Its glaring and you know how to annotate. This is the first video I have seen of yours. Quite by accident.
Videos are perfect. Please continue.
Thank you so much! Very helpful! You explain it in a very simple manner. The positive message in the start was nice also. :)
Great! Thank you Benny :) All the best of luck my friend, B.
simply n very intrestingly explained!! awesome
The Poison distribution rocks.
Thanks , I understood the base to construct the graph
Hey @Brandon Foltz , It really helped me thanks for making these videos. :)
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?
your explanation is very nice.but you have done a mistake while calculating the cdf. Its not just 1-P(10). It actually is 1-p(10)-p(9)-.....P(0).
chaitanya vadigi Thank you for the comment. I think I copied a slide in this one and forgot to change / update a formula. It happens now and then. Thank you for watching though! I appreciate it very much. Best, B.
Can you change the interval to an interval that are not not within the original interval? For example instead of looking at 15 minutes (interval), look at 1 hour. Is it valid to multiple those 10 costumers times 4 to obtain hourly numbers?
This video is awesome! Thank you soo much, now I've understood a lot more about Poisson Distribution. :D
very good video, really easy to understand
Good video, you explain the concept very clearly, thank you!!!!
Nicely explained, thank you for the review and positive encouragement.
Thank you for boosting my understanding
Hey, good video, for your short-hand mistake you could just annotate over it with 1-(p(10,0)+p(10,1)+...+p(10,10)). That's the best way to do it.
By the way, i'm studying for the Probability exam for the SOA. I'm 19, only taken one 300 lvl course and covered 1/3 of the material in it; so far, and let me tell you, your videos are the perfect length and depth for what I'll be doing/needing.
You could spice the vids up with some jokes, but I understand not everyone is good at, or can make, timely jokes. But oh well.
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 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.
Your videos are very good!
Hi Brandon, thank you for the video. I have a question: I understand that to calculate the P(>10) you are doing 1-P(10). BUT. The formula used here [P910)] is technically calculating the probability that 10 costumers show up in line between 4.30 and 4.45. So the answer is always 0.125, just like your graph shows. Somehow, you calculated the added probabilities from 1 costumer to 10 costumers showing up within the 15 min interval, which equals ~.57..... Using the poisson formula, and using x=10 and lambda=10 the answer is .125. Help please?
Should that be 4:44:59 pm at 6'30"?
+Sean M
I agree. It should have been 4:44:59 pm instead of 4:49:59 pm (It is 15 minutes, not 20 minutes)
Thank you Brandon..
loved the background at the end!
thank you. your video helped so much and words meant a lot. needed them