The Normal Approximation of the Binomial Distribution
Вставка
- Опубліковано 4 жов 2024
- Approximating the Binomial Distribution to the binomial distribution first requires a test to determine if it can be used. Then a correction factor needs to be used since binomial distributions are discrete cases
There's a place in my heart for you now. Thank you
I’m taking an online course due to COVID & I was struggling. Thank you so much for this video, it really helped me understand.
Glad I could help
same
Thank you so much Sir 🙏🏾🙏🏾
you are very welcome. Glad it was useful.
That "correction for continuity" thing is really helpful. Thanks :)
Thank you so much for this! I was absent the day my teacher taught this concept, so this video really got me up to speed
your entirely welcome! If you ever have a question let me know. I'll see if I can help again.
That "Correction for Continuity" was very helpful. Very good lesson!
I went through a whole course and didn't understand anything. I look at this video and understand everything.
Thank you so much!
THE FACT THAT I LEARN BETTER FROM YOU THAN MY ACTUAL PROFESSOR
Pro tip : you can watch series at flixzone. I've been using them for watching lots of of movies recently.
@Calvin Sullivan yup, I have been watching on Flixzone for since december myself :D
@Calvin Sullivan definitely, I've been using Flixzone for years myself :D
thank you. This is the first time in the whole semester i have understood continuity correction. Life saver
you're Welcome
5:55 this guys dead lmao 😂
Woah, thanks so much for the clear explanation! It's really easy to understand this scenario now. Wish me luck on stats!
Good luck and God bless. Glad I could help
Final tomorrow, wish me luck!
Did you manage to get it done?
Thank you for not using your calculator to show your work! I really needed this :)
Awesome Video. Very straight to the point. Thanks for helping me cram the night before my midterm :)
Do you know what is the correction for continuity of P(a
your digital hand-writting was perfect 😂
LOL. I'm just glad people can read it.... Thanks for the comment.
in my question it does 1 - p(z > 1.9) = 1 -0.971 = 0.029
I still don't understand why you take away from 0.5 and in my question it is taking away from 1?
What difference does that make? D:
other than that ur vid was really helpful!
Because the z score table that he used is very old and uses all the area to the right. The new ones takes the area to the left. he used 0.5 because he doesn't need the whole area to calculate the answer. He only needs half the area to find out the remaining.
Thank you. This was very helpful. I appreciate these math problems on statistics.
Thank you sir. It was really well explained.
Thank you for this video ,it has helped me understand approximation
You're welcome
wow thank you so much i was not taking into account that the z table gives a particular region of the curve. awesome explanation thanks for posting this
Very Good Video
Thank you so much. Your video was really helpful❤
I love u man I finally get the correction of coun
Youre welcome
Wow, thank you so much for this. Helped so much!
Thank you very much. Excellent video.
Absolutely Amazing
well. I don't know about amazing... but thank you
finally completed my assignment.........Thanks a lot....
Keep it up Boss! #Respect :)
I have a final exam on statistics tomorrow :) thank you sir
your vid helped me a lot!!!
My textbook says NP & NP's compliment need to be at least 10, not 5. I wonder which is more current.
Either way, this is a helpful video. Thanks a lot Mr Schaben.
Monte Gavin III some authors claim the value should be 5, others claim 10.... 10 would probably be a safer bet since it exceeds 5 but doesn't really matter
Great video, very well explained! Thanks!
Thanks especially for the part at the end
that was great i understood it easily, but why didnt you take the probability from the negative table and took it from the positive instead ?
Glad it was helpful. I use the symmetry whenever I can. Negatives in general can cloud my thinking.
Thanks a lot for the video. It was very clear.
Helped A TON!! Love the bored and sick attitude too, very amusing hahaha
When you do 1000's of the same problem over and over again.... hard to get excited. Thanks for the comment and glad it was useful for ya:)
This video helped me a lot. Thanks
Thanks a lot dude have got a test on normal tomorrow, am finally prepared, thank again ;)
Thank you so much very helpful :)
So helpful :) but u sound bored lol
Because statistics is boring
love you ,sir
At 7:25, you rewrote the problem w the correction factor but didn't change the sign. In the previous slide with all the corrections for continuity, it says "If P(X
no
I finally understand this. Thank you very much! :-)
Thanks a lot brother it really uplifted my knowhow. Don't mind just practicing my english
thanks for the comment. Glad I could help out here
Thank you so much! This was very helpful :)
Hi, this video was very helpful thank you! Just one query... I have been taught to find the standard deviation by X - pn over the square root of npq. However you calculated it just by the square root of npq. I'm not sure now which is correct. thank you!
Are you using the Cumulative Standardized Normal Probabilities table? My prof is working off that which has negative Z-score values.
thank you very helpful. I have a question related to the correction of continuity: If P(a
So, if P(a
pretty sure this is correct. Not sure why my comment didn't go through. Just make sure you are approximating a binomial distribution. If you are actually finding probabilities on a normal distribution, then this is unneeded. And with the technology we all posses, I am not sure why we are still approximating a binomial distribution with the normal distribution when the calculator/phone you posses can calculate the probabilities for a binomial distribution directly.
I think that (np) and (nq) must be greater than five instead of greater and equal. The rest is great!
Thanks. I will look that up. What a F-up if you are right. This vid is crazy popular. I didn't plan on other people besides my students to see it..... now.... so many views....
why aren't you using the cumulative z score table?
I use whatever table is in front of me. I try to teach my students to be versatile and use them all. Of course technology is changing that.
Why is your table different from the standard normal probability table?
+Yokhen LOL, they are the same thing, but in different representation. This version is better imo.
Assume X is a binomial random variable with n=50 and p=0.42. Using the normal approximation to calculate P(18
Use the idea that the area of P(X
Use the idea that the area of P(X
Finals in 9 hrs wish me luck
hope it went well
searching4math yes it did🙌🏾🙌🏾😭 ty so much man
@@confidoplaysfx your welcome🤩
MAN!!!! THANK YOU!!!!!!!!!
thank you very helpful. i have a question; how do you know when to use CCF (Continuation Continuity Factor) in approximations for both Binomial and Poisson because i've notice in my text that some of the approximations are done but without the CCF?
Your theory is correct. it is much simpler. not very much people show the computations done manually(that is by hand) and i think thats just sad. Doei.
Very good, thanks. I think it should be p(x-26.5)?
Were did you get the 0.68? Pls answer me
Do you have a series on probability?
I havent put an official one together. I just put enough together so my students have enough to survive a typical stats class
@@danielschaben Well this was an amazing video. I wish you had more.
--I have to do research, but I was wondering if there is a way to compute a random distribution that has shifted without needing to re-compute the mean and variance.
--So like a distribution that shifts over time
@@patrickadjei9676 I will start creating a probability and stats set of videos. Your moving distribution sounds awesome!
@@danielschaben Let me know when you do. I will gladly follow it.
@@patrickadjei9676 Well thanks for the push, I will put a set of videos dedicated to probability on my feed. If you run across a specific problem you are having, send it to me and I will see what I can do with it. There are a few areas, like Bayes theorem, that are just downright brutal and I am not sure I am the expert for that particular one, but if I can figure it out in my own mind, should be able to tackle that as well. Thank you so much for the input!!!
doesnt np, nq need to be = to ten to be normal distribution?
Yes to use the normal approximation and using the conditions in the AP Stats curriculum, you need to be 10 or more for both. And what I do in class is show the difference using the actually cumulative binomial and this approximation. Pretty cool math going on with this.
i don't understand.
if i try to do that with getting 50 hits. the Z score is 3.7 which is too high for my probability table.
In this case, sorry I am so late answering and I don't know unless I watch you do the problems. Here I would need to be a teacher standing over you. You could be using the wrong table or using it incorrectly. I wish I could have been there helping you when you were working on this.... we would have figured it out together and both learned something. As it is geographic distance and time were too much and I am truly sorry I did not get there in time. In the future I wish you all the best and always encourage everyone to find a mentor to help you get through these hard classes. Peace and have a great one!
thank you so much!
Is there a book in which all these procedures are given? Please give the details
sorry for late reply, and yes the book I prefer for this is Elementary Statistics by Bluman
thank you sooooooooooooo much ...
Thanks bro
Syed Tihaam Ahmad your welcome
i get P because its untuitive but then what are n and q? where in the world did you get .68?
n is the number of trials. and q = 1 - p. So I got q from 1 - 0.32.
THANK YOU!!!
Thx , it really helps
Glad I could help. Sorry I cant get to comments
so what does "a" stand for???
a stands for the z score value
Hi, could you tell me what book that talk about this correction factor?
Sorry. Did this so many years ago I cant remember. But maybe a book by Bluman? It's funny with the calculators we have I dont even teach it anymore. It is a fun approximation, but not 100% sure it needs to be taught anymore.
where did u get .68 from?
at 5:06 if the probability that we get a hit is 0.32. Then the probability that we do not get a his is 1 - 0.32 = 0.68..... sorry it took 5 days to get to you. Lots going on.
my table has different values
yes, there are bunch of different types of tables. look at where the shading occurs on yours and look at mine. the area values give you the shaded
thanks
You're welcome!
thank you
oq eu n achei em vídeo br, eu achei aqui. thanksss
Your Welcome.
what does q stand for?
Typically 1 - p.
Y is that 0.68??
1-initial probability
if we have this normal distribution N(32 , 2 ) we have to find :
P( 27
Im pretty sure you would figure 26.5 to 29.5 as long as what your figuring is the approximation of a binomial distribution. You have to be careful. Are you figuring probability for a binomial distribution or a normal distribution. There is a difference.... so be careful. This is a video for using the normal distribution to approximate a binomial distribution, which if it is a binomial distribution just use the binomial distribution formula with your calculator.
It's normal distribution I said that , I know the difference between normal distribution and binomial distribution, but I had problem with that exercise
Sounds good.
what the solution to your question would u tell me..
The first step is to find how many standard deviations your interval is from the mean. 27 is (32-27)/2=2.5 stdev. below the mean and 29 is (32-29)/2=1.5 stdev. below the mean.
You must now find P(-2.5
thanks !!!
i learnt this in year 6 and its so easy xD
tq sir
why the mean that is true =np
Yeeee! hella helpful! but show some more enthusiasm man! :D :P:P:P:P *sigh*
YES!!!
I love you
I love statistics to.
lovelie
Noice
Thanks