An Introduction to the Poisson Distribution

An introduction to the Poisson distribution. I discuss the conditions required for a random variable to have a Poisson distribution. work through a simple calculation example, and briefly discuss the relationship between the binomial distribution and the Poisson distributions.

Plutonium-239 example (an average of 2.3 radioactive decays per second).

Finding the probability of exactly 3 radioactive decays in a 2 second period:
dpois(3,2*2.3)
[1] 0.1630676

Finding the probability of no more than 3 radioactive decays in a 2 second period:
dpois(0,2*2.3)+dpois(1,2*2.3)+dpois(2,2*2.3)+dpois(3,2*2.3)
[1] 0.3257063
or
ppois(3,2*2.3)
[1] 0.3257063

[theamjolnir]

At my graduation I'd like to thank YouTube for teaching me all that I need to know to pass material in school. Thanks bud.

[JKTCGMV]

So much easier to follow a youtube video at your own pace, instead of a lecture at 8 am.
It also helps that the video is just great anyway ;)

[Truck--kun]

these video's are life savers when your stats professor has no idea how to actually teach properly. Seriously my stats professor just puts random stuff up and gives examples, but doesn't explain how to actually do them

[isupportargentina]

Exceptional videos for review just before the exam. Thanks a million.

[Lemarocity]

Maybe as a little motivation for you to continue this great work, I had to do a statistics test and if i didn‘t get a sufficient grade I would have been kicked out of my programme because I didn‘t have enough credits. I just made it. If I didn‘t see this video I would not have understood poisson in such short time and it was a significant chunk of the test. Thank you very much.

[orlava]

I watched this and said Poisson after every time you said it. 10/10 video, thanks!

[antor_khan]

Such polished content! Many Hours of hard work must have been put into this. Greatly appreciated!

[davey_davey_dave]

Dude, you make the best stats videos. My textbook is horribly written, and your videos along with the lectures are very helpful. Continue to make this videos!

[GuppyPal]

Your videos and explanations are so incredibly clear. I love watching them even as a review just because of how well you explain things.

[laurenstevenson]

I'm currently taking an online course and it's turning out to be much harder than I thought it would be. Thank you for having these videos that are so detailed.

[linneaabrahamsson]

I have a statistics exam on Thursday and I FINALLY feel like I understand this. Thank you so so much for these videos! :)

[mohammadpourheydarian]

1. clear English accent easy to follow. 2. very focused to the materials. 3. learner centered . explained in a way that makes it easier for listener to comprehend. For example his geometric distribution approach is much easier than following the formula instead of concept. 4. very organized. Typed materials are easier to follow, to copy without missing anything. In addition more materials can be covered in a specific time period. GOOD LUCK TO HIS STUDENTS.

[goodknight]

Every time you say "Poisson" I think of carl saying croissant

[RexGalilae]

You hit the sweet spot between quick and simple and slow and relaxing. Even after I'm done with my exams, I'll surely come by every now and then for some relaxation therapy. Your voice is so soothing. ^_^

[shinaken]

Just changed my degree to Actuarial Sciences. Brushing up on my stats in a much more thorough way than my horrible stats classes ever covered the content. I'm trying to use my free time this summer to take detailed notes on all of your videos and many other Statistics relevant YouTube channels. Thanks for the concise yet intuitive content!

[ThefamousMrcroissant]

Worked example, consistent with the notation and clearly spoken. Excellent tutorial

[TheHunter]

why can't teachers at University explain like this? Clear, simple and putting sense to the formulas, not just throwing it at your face without context. Grr

Thanks!

[CurtisThiron]

I really enjoy your content mainly because of how clear and concise you are, also your voice is almost relaxing.

[nguyenbuihamy]

much much more succinct and helpful than an actual school lecture. thank you

[wesleyguan]

leave the thumb up first, then go over the lecture! This is my habit for this channel!