The Hypergeometric Distributiion - A Basic Example

The Hypergeometric Distribution: Explanation and Example

In this video, we explore the concept of the hypergeometric distribution by looking at an example involving light bulbs. Suppose there are 100 light bulbs in a batch, and 20 are defective. If 5 bulbs are selected, what is the probability that all 5 work? We will break down this real-world example to better understand how the hypergeometric distribution works.

We also discuss the formula for calculating probabilities using the hypergeometric distribution.

By the end of the video, you will be able to apply the hypergeometric distribution to solve problems involving samples from populations with distinct groups, without replacement.

What You Will Learn:

How to solve a problem using the hypergeometric distribution.
Understand the hypergeometric probability formula.
Apply the formula to real-world scenarios, such as quality control problems.
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[zaibysheikh]

I love this guy! I knew nothing about a single topic in Multivariate Cal. All i did was heard his lectures and gave my exam. DEFINATELY GETTING THE HIGHEST MARKS! God Bless! ❤

[jessemaedelarmente]

i'm not trying to learn this stuff, but i have been using your other videos to help with the math class that i'm in now. my college algebra teacher is so unbelievable awful but watching your videos has helped me immensely. on the chance that you do see this comment, i wanted to hop onto your latest video to say thank you so much. you're brilliant!

[dangerousangel]

In the end I got the same final answer on my calculator as well, that is, 0.319... but.... question....how did you get 19, 513 and 61, 110???

the calculator and siri both say 80 choose 5 is 24, 040, 016 and 100 choose 5 is 75, 287, 520.

Even when I factored out the 75! I still got the same thing.
It is haunting me lol where did these numbers come from?

[yordyne.menendez]

Better than any lectures I've seen!

[sarcadistic]

Thank you for this!!! It's so much better to understand when you are teaching it than when I'm trying and failing miserably to understand it from a book!

[Kevin-egli]

My main man Patrick, can you make a video on countable and uncountable sets. Thank you.

[bjsiau]

How did you get 19, 513 from 80 choose 5? When I google "80 choose 5" and also when I do it by hand I get 24040016. That's a huge difference. What am I doing wrong?

[royvivat]

You explain it so well and so quickly!

[Invincible_]

In a shipment of 20 iPods, 4 are damaged and 16 are good. The receiving department at SIKA HILLS tests a sample of 6 iPods at random to see if they are defective. The number of damaged iPods in the sample is random variable X. Find the probability that at least one iPod is damaged.

[bamakaze]

Excellent job! I really do understand this better! But I'm so glad that I'm not left handed...I don't know how you write with your hand covering everything!

[aymaniqachaden]

Awesome video ! Was looking for it, good job !

[siddiquemohammed]

Great explaination using an example it helped alot thanks 😊

[miguelaphan]

¿old patrick is comming back again..?...¡what a nice surprice

[thedarknessofnana]

I was so confused for DAYS thinking my brain lost its edge when it came to understanding math formulas... then I realize my stupid Stats book was written stupidly.

The question didn’t even give me x. Then I found out in the chapter, they didn’t even want me to try it by hand, they gave a bunch of vague answers that they never completely answered, then said “just use Excel” at the end.

And the answer to the question was 1, which they didn’t even USE this equation to find. I swear to God I hate this business book. It can’t have been written by mathematicians.

They didn’t even explain how to work out factorials after giving this (stupid) version of the hypergeometric equation:

P(X=x) = (sCxN-sCn-x)/NCn

I know, right? Looks nothing like what’s described here. Not only was I confused by what all these letters represented, but they also didn’t explain what the C’s meant (I now know they mean ‘choose’), factorials, nor how to convert this format over to factorials.

I’m so lucky I have this video, and an aeronautical engineer Dad who could explain to me what the heck was going on, lol.

[RB]

Thank you Patrick.
Would you mind making a video on gamma functions with practical examples?

[mayzkuro]

Hey Patrick! Does this calculation work for card games? For example you have a poker deck and u wanna calculate for black and red cards. Since they are shuffled and stacked is there a difference to your example? Maybe there is a slight difference that I cannot see? Thanks for your video ! :)

[Digvijay-dpbk]

Patrick will u make one video on reciprocal function from initial function??

[ThriveNow]

Why aren't we using the binomial distribution since the trials are fixed and each is independent

[adminenetzone]

Does hypergeometric use bernoulli trials? ( since it is without replacement)

[nidahaider]

Please do a video on direction cosines and direction ratios please i have my mids in april