The Binomial Distribution: Crash Course Statistics #15

Today we're going to discuss the Binomial Distribution and a special case of this distribution known as a Bernoulli Distribution. The formulas that define these distributions provide us with shortcuts for calculating the probabilities of all kinds of events that happen in everyday life. They can also be used to help us look at how probabilities are connected! For instance, knowing the chance of getting a flat tire today is useful, but knowing the likelihood of getting one this year, or in the next five years, may be more useful. And heads up, this episode is going to have a lot more equations than normal, but to sweeten the deal, we added zombies!

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[saivishnutulugu]

If you want to check if a situation is binomial there are 4 conditions:
1.) Each observation can be classified as a success or failure
2.) Fixed number of n observations
3.) n observations are independent of another
4.) p(success) is the same for each observation

[anranzhao]

feel very relatable when she mentioned 'virus' and 'pandemic‘ lol. watching this because of the lockdown

[enkhbayardambadarjaa]

who would've thought covid-19 would make classes more interesting.

[malaikadsouza]

got goosebumps when she said "pandemic level viruses"

[AqashaAhmed]

interesting seeing the cold and zombies thing since I am quarantined right now from COVID

[Lucky]

OK, now I finally understand at least the gist of the notation for this formula. In my experience tutoring stat 101 students, half of their confusion is because they don't know how to interpret all the new notation. This particular notation was one of few things I think our textbook did a poor job of explaining, so I always had a hard time helping them with it. Your explanation makes perfect sense and makes me wonder why its not always explained that way.

[tamisanlatherow]

For beginners, it would have been more useful to explain how to enter the factorial in so the math is easier to understand. Math needs formulaic examples, not just verbiage. 5C3 gets entered into the calculator as 5!/3!(5-3)! which gives you 120/(6*2) = 10. Now take 10 and multiply it by the rest of the formula to get the 31%. Not everyone will get this if you do not explicitly state it.

[gian]

PEOPLE DID YOU IGNORE AT 0:22 the scary figure in the

[michal]

60 dollar textbook did not captivate in 5 hours what this video did in 15 minutes. Thank you for all that you do!

[e.]

crash course I love your videos and all the effort put into it but I don't know why I couldn't understand this very clearly. you made it more complicated instead of simplifying it

[springinggrass]

the most relevant video in the series so far, as luck would have it. now where to find the probability rate of infection in this country...

[ericklestrange]

I haven’t found many videos that are better than StatQuest. However this video is amazing, the production value is really nice, everything just adds up really nicely even the shelves in the background and the colors, I’m very grateful for your video thank you very much

[chintangandhi]

I've an exam the day after tomorrow. WHAT WERE THE ODDS OF THIS GETTING UPLOADED TODAY? I guess I can calculate now.

[Kei-oyfc]

Would it be possible to have a full series of crash course on math?

[socialcomplexitydinocarpen]

CC *Uses quite some math*
VIEWERS: Damn! That's too heavy. I feel stupid now...
CC *Uses no math*
VIEWERS: What the frick? Is this a channel for kids?!
CC *Uses some math but not too much*
VIEWERS: C'mon guys, you should choose either to use it or not! Don't be scared!

[rahmetovedil]

The quality of the video is better than the quality of my life.

[haeleon]

The guys at Thought Cafe really should make a graphing calculator that looks like the one in the intro screens that can do all the things described in this lesson. For them: If you do, please share the link; I would love to see something like that from you guys!

[makouras]

I really don't understand how the binom(n, k) formula works. You should explain that more thoroughly. The links in the description only show the factorials equation. And seeing as my math knowledge is below basic, I can't figure out how the numbers fit in your examples. Can somebody explain to me please? What do we multiply with what?

[alexandertownsend]

This video was released two years ago and mentions predicting the spread of pandemic. Is this a coincidence? The answer is probably yes (in spite of the COVID age), but it is still interesting.

[Kingofmolotov]

Hands down the best series in the whole CrashCourse catalog!