❖ The Binomial Distribution / Binomial Probability Function ❖

[@patrickjmt]

Hi all! Wanna help a KZbin education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[@Dionisio97]

11 years later and this man is still saving lives

[@ishamathstea9019]

hello Dionisio, I have just made a video about Binomial Distributions. Hope its helpful as well.

[@Novalax]

I wonder how many students this guy has saved from bad profs.

[@mhm6]

one more

[@darkazurasr2]

he's not bad... he talks VERY FAST and when I tell him to slow down he then says those who want me talking slowly you're gonna do the unexplained exercises as homework -.-

[@zhitongli1837]

another🖖

[@LouisRacicot]

You are totally amazing. I was listening to your videos four years ago, and I still listen to them to complete my engineer's degree. Thank you!

[@BewitchinGinger]

I love these videos because you are super concise. You don't waste time re-explaining things and you assume that we know our stuff. I can always pause or rewind if I need more time but it is hard to fast forward a video without accidentally missing the important stuff.

[@happy2bebuddylee]

Your videos are a tremendous help! I have taken statistics classes about 4 different times and this is the first time I actually "GET" it. Please keep up this amazing public service!

[@Shrinks101]

Your videos save me every semester, thank you! I don't know what students did before youtube!

[@hyperupcall]

Read the textbook

[@adamcoburn2646]

Use their brain

[@johnknight9820]

Get a tutor

[@drmacsika]

meet the instructor.

[@LtSeth242]

patrickJMT I gotta say, i've been using you for a year or so, and i'm a math major. your videos help so much! they've easily taught me more than my professors!! thanks so much! :)

[@TheImpressionable]

Thank you patrick for your help. As a deaf university student I appreciate the fact you write everything you say. I think that helps non-auditory learners too, even those that can hear. Thanks again.

[@Hangmata]

You saved my day sir! One the best things is you always include an example after explaining the formula and shows how to interpret the problem.

[@MrStanislow]

Patrick, Just wanted to say thanks for your amazing videos. I know how much work goes into creating and recording high quality content online. Your effort does not go unnoticed. As I build my own video library for my geometry and pre-calc students, I often send them to your channel to supplement what I am doing in class and on my own channel. Thanks a bunch and keep up the good work. Greg Stanislow Philadelphia, PA

[@KalaihoaBS]

Oh my jesus. You know how there is that commercial before the math help that always asks if we're tired of scrounging youtube for math help? Futt that commercial! I ALWAYS come to youtube for THIS guy! Thanks Patrick!

[@ActSciBlink]

Thank you patrick for your help. As a blind university student I appreciate the fact you read everything you write. I think that helps non-visual learners too, even those that can see. Thanks again.

[@Godbornadam]

I have good professors at Louisiana Tech University, but me and some of my classmates ALWAYS follow up our lessons with your videos. I just want to say thank you very much for taking the time to make these videos!!! You are brilliant, and are responsible for me passing many tests. THANK YOU!!!

[@canadiancrafter5100]

I love you actually explain the content at the start of the video. I hate it when textbooks only include a discovery process for each lesson because it's so hard to learn if your self-learning. Anyways, thank you so much for your help!

[@Nancybabe94]

You are the reason I have passed any classes in college. Thank you so much for your videos!!! Thank you for explaining in a clear manner. You're the best!

[@daily6633]

THANK YOU SIRR!! YOU ARE WAY BETTER THAN MY PROF.

[@patrickjmt]

happy i could help you out!

[@bbabdi1092]

patrickjmt is a God sent gift, i used to suck at math but he made me look at math in a beautiful way, hope you continue to help the world, we need people like you.

[@perrijameson4645]

I love you. You teach me everything so simply that my maths teacher can't.

[@jessicabalanag8461]

So very helpful. I'm trying to study for an exam this morning and this was the most clear way I've had it explained. Thank you very much!

[@littlekina86]

I've been racking my brains over this for a couple of hours, found your video and it all makes sense now! Thank you! :)

[@Marksman3434]

Those 6-and-a-half minutes helped me learn about binomial distributions better than the 40 minutes I was given in college. You know what? Fuck it, I'm just gonna use KZbin as my teacher now :)

[@hummus9118]

better than the 3 or so hours of wasted time I was given in high school. youtube is the only way i’ve been learning any of this stuff lately :( edit: also why am i being taught college level stuff in 11th grade while still struggling with simple hs math, tf

[@patrickjmt]

@Godbornadam no problem, happy that i could sometimes help you all out!

[@MrKostaCoffee]

Man, you are REALLY good. I just took a six month holiday and your lessons are a brilliant refresher!

[@AbrilMaks]

I was completely lost in probability until I found your videos. THANK YOU!

[@bmacdonal21]

You break everything down and make much more sense of things than my professor does. Thank you!

[@patrickjmt]

you could either find: the probability of getting exactly 4 + the probability of getting exactly 5 + the probability..... etc.. or you can use P(A) + P(Not A) = 1 so you could instead find: 1 - P( getting 3 or less correct) which would be easier to compute

[@ajitbharathan7258]

thanks buddy...u have no idea how much this video helped me at 4a.m in the morning.Thankyou again.

[@patrickjmt]

@ActSciBlink never thought about that... but i do try to read it all i guess. thanks for pointing that out, this is something i will keep in mind when i make future videos!

[@jpengamen]

hey patrick this was very helpful for my grade 12 data management so thank you so much sir and I wish you the bestest day ever that you have seen in your lifetime sir much love from a student right here my guy

[@ishamathstea9019]

hye Jeff, I have just made a video about Binomial Distributions. Hope its helpful as well.

[@StudentNG]

Patrick...your videos help so much! How do I answer this? The percentages of couples where both parties are in the labor force is 52.1. Choose 5 couples are random. Find the probability that A. None of the couples have both persons working? B. More than 3 of the couples have both persons in the labor force. C. Fewer than 2 of the couples have both parties working. StudentNG

[@latiecua]

OMG, this video is so helpful. I'm going to start checking all your videos. I'm so glad I found this video of your explanations before taking my midterm test. I'm taking classes online and the first 5 chapters had been kind of easy for me to understand, but this part was getting kind of complicating for me. Thanks again for posting this videos explaining Statitics

[@Ecnfl]

You helped me so much, thank you for making these videos. I had no idea what I was doing with these but now I do, great explanations.

[@georgesgreiff5655]

Great video. Taught me what I struggled to understand for weeks in a matter of moments.

[@3dward67]

Hey Melissa, I'm not Patrick, but I'll try to help. Factorial notation is a simpler method of writing the product of all whole numbers from the chosen number to 1. So, 10!= 10x9x8x...x2x1 and 4!=4x3x2x1. The exclamation mark is the factorial notation, so there is no need to write it when you expand into the form 4x3x2x1, for example. Also, notice that 10!/4! = 10x9x8x7x6x5x4!/4! = 10x9x8x7x6x5 = 151200. Hope this helps, feel free to ask any questions.

[@janinep7206]

Thank you so much! I had a lot of issues trying to understand how to use this formula from my readings, but you made it so simple :)

[@Fre4president]

All your video's are so clear. Thanks so much Patrick, you rule!

[@markotany]

Thanks man, you've been getting me through Uni. Very clear and concise explanations, appreciate it!

[@bigulful]

GAAAAAH MY MIND! ITS ON FIRE....wait... its suddenly start to fit together.... awww such relief. Thanks dude.

[@dingquanleow8655]

thanks for your videos, I'm able to finally understand how to do after seeing this, thanks!

[@jhablinski]

You have a very clear and engaging teaching style. Thank you very much!

[@jamesbalboa24]

Cheers from UCLA. Your helping me out tons. My professor has a crazy accent and in don't understand her. Thanks for the help!

[@Zackwithamy]

@patrickJMT You are my hero! A god amongst men! You're helping me all the way down in South Africa!

[@mhatung]

dude...you good sir are my math hero!!!

[@patrickjmt]

@dfjndsk2008 glad you like the vids ; ) i am pretty pleased with the views i get on youtube!

[@UserU]

Well-explained video, and a good way to understand how Binomial Probability works.

[@kiddo108]

thank you so much .tomorrow is our final exaam for Stat and you video helped me a lot : D

[@makeupbean]

i watched like 3 videos before finding this.. just what i needed! thanks!!

[@MikeRRR]

You, my friend, just saved my grade!!!! Thank you!

[@MattieGRRRL]

Thank you so much for posting a clear explanation! This makes sense now, your video helped me understand better than 2 lectures and 3 textbooks :)

[@katydo1]

I learned more from him than my math professor!

[@geraldking3243]

Pearson Learning could take a few hints form you

[@TonySRF]

thankyou so much for this!! i have my stats exam tomorrow, and now i can feel confident about this chapter :)

[@polishhammer1992]

You must be the most loved person on youtube! And for the right reasons!

[@mhm6]

patrickjmt is a LEGEND. someone get this guy on ellen

[@ccuuttww]

before using binomial distribution u must ensure your sample are random and independent all element must have equal chance of being chosen for an example cards drawing is not independent because each time you draw u have less cards

[@abdullahh10]

What if i replace the card. Then it becomes independent ,right?

[@ciara4860]

thank you so much I have a maths A test soon and I missed the class on this you're helping me so much!!!

[@calicollege10]

Viewing this video has helped me with my binomial distribution problems. Where was this site when I was in Trig.

[@jonyb0b13]

You just explained the concept to me in roughly 7mins while the prof that im paying thousands of dollars left me confused after 80mins of trying to explaining.....why arent we funding this?!

[@JDawgUnstoppable]

This has helped me. Thank you for this.

[@kirollos210993]

Hey, patrick man thanks so much for the videos. Hey I have exams in like 3 weeks and i im really confused with probs, could you please do a video or just write explaining to me how to decide on which type of probability to choose when given a problem, e.g. binomial or normal. I really get confused between them and i need someone to compare several problems and tell me why we chose which one and why not the other. Can you please do that for me man? Thanks. Love your videos btw, theyre awesomne!

[@JonathanKizuka]

for those who don't know what factorials are, and don't feel like watching the video, the (!) basically means you multiply the number infront of it by every previous number, so for example: 5!=5x4x3x2x1

[@Mmmm13579]

the q in the general formula should be p complement because there can be more than 2 possible out come .like in the dice the probability of getting a 3 two times in tossing the dice four times would be =4c2 (1/6)^2 *(5/6)^2

[@GloomyHouse]

u are the man , thank you so much

[@bvasable]

Awesome! I wish you were my professor for stats. My goodness, thank you for clearing this up and making it seem so much more easier to understand. Great Job! :-)

[@Rxsm_24]

Thanks for the video!!! I finally understand binominal distribution thank you so much!

[@patrickjmt]

it is good for you!

[@whirlydirly]

now that I've seen this, my probability of success in my upcoming exam has increased exponentially :)

[@patrickjmt]

yes

[@Enjoythemoment42]

i love your way of teaching.... THANK YOU SO MUCH....

[@Nickuncle]

Just write out the factorials. If you have trouble simplifying you should just write it all out and you'll see what cancels. If that's your problem, that is. E.g. 3!/4! = 1/4 because 3*2*1/4*3*2*1 (the 3 2 and 1 cancel and you're left with 4!)

[@dasunn1]

Thanks!!! Helped a lot for my discrete math class.

[@mesrobtothemax]

Really well explained mate. Mesrob approves.

[@dvybzkid]

good job Patrick, keep up the good work.

[@nuclearnyanboi]

You Sir, are a life saver

[@alhashmiomar9710]

you deserve my subscription

[@umarislam9859]

thank you!!!!!!!! I had a look at the mark scheme of a question and this explains better than having the answer in front of me.

[@kwasibandoh]

Awesome video! Keep them coming!

[@roozterchick]

Omg! Thank you for posting this :D I have a test tmrrow and my TI-83 Plus calc broke :( Able to borrowed TI 85 but it doesnt have the VARS/ distribution function .. huhu! Thank you really cause our teacher didnt go over doing this since everyone can just do it thru VARS..

[@stealthkills]

what if the X=4 is actually X=0? what does the numerator times by?

[@ishamathstea9019]

hye doomstar, I have just made a video about Binomial Distributions. Hope its helpful as well.

[@Ephesuz]

thanks you have helped me a lot! I got top grade on my math test in probability!:)))

[@patrickjmt]

@Strawbehrray perfect!

[@trile97]

This was really easy to understand and helpful! thanks a lot

[@karenfeng5028]

thank you for explaining so well! would it be possible for you to make a video on negative binomial probability distribution too??

[@anysianas5099]

Thank you so much when it’s final time and your finally understand 😊

[@fascist27]

MR Patrick can you please tell me when do we approximate binomial to normal and poisson to normal.i mean what are the conditions do switch over these distributions

[@alejandrocanas6744]

The GOAT of calculus and STATS!

[@MrJosem59]

Good stuff very clear and easy to understand, Thanks!

[@patrickjmt]

yes, for a binomial distribution, there can only be two outcomes

[@kkumar9844]

Great video! Thanks! Could you possibly do a similar one where we look for the probability of getting like AT LEAST or AT MOST 4 questions right, that was confusing for me.

[@xDELFYonceagain]

3 and half hours till the test..!!

[@xDELFYonceagain]

***** Word.

[@hoseinqadam]

***** it still works, but you have to be smart about it.

[@xDELFYonceagain]

Adam Hosein Depends what you are studying i guess.

[@sushiyama1]

How'd you do on your test?

[@Gleb170785]

Thanks for the video. Please explain if 10! means multiplying the row till 7 only? Or we need to do it till 1 like 10*9*8*7*6...*1

[@georgeogolo6238]

your good. I like the explanation of the result when you got 9%. that is what most lecturers miss.

[@shrikantc15]

thanks ....... it was really helpful for me .... at 00:32 am ...👍👍🙏🙏

[@melissaad3631]

Hello Patrick! Great video. I still don't understand (for the factorials) why didn't you continue for the top 10!=10! x 9! x 8! x 7!x 6!x 5! x 4 ! x 3! x 2! and then divide by the sum of 4!= 4! x 3!x 2! x 1!??? Sorry that is the part that I am not getting.

[@hardeefareeqshareef2476]

great,, that helps a lot , im covering all my lectures with your videos, you rock ,, :D

[@ThePhantom198]

Thanks Mate, really helps a lot

[@patrickjmt]

@kanitsethi hope it went ok for you : )

[@chimwemwebanda7717]

you are amazing your videos have unrelentlessly saved me.. kkep up with the good job. Thank you

[@aedanmcmahon1951]

you manage to teach me this in 7 minutes while my teacher cant do it in an entire week of 70 min lessons...