Statistics 101: Random Variable Basics
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- Опубликовано: 9 сен 2024
- Statistics 101: Random Variable Basics.
In this video, we discuss the basics of random variables for statistics and finite mathematics. What is a random variable? How do we use simple random variables to model basic experiments and record observations about the frequency of certain events? Several real-world examples are included to make the concepts concrete. Enjoy!
My playlist table of contents, Video Companion Guide PDF documents, and file downloads can be found on my website: www.bcfoltz.com
Hi Serahpin! Thank you for your comment. Incomes are continuous. We should always be careful to separate what we are measuring from the measurement instrument. Financial transactions take place all the time that are done on fractions of a cent. Paper money, the measurement instrument, is different. My paycheck may be XXXX.66666 (repeating) but it will say XXXX.67. Shoe sizes may be "discrete" (debatable) but feet are not. Infinitely divisible is an asymptotic paradox.
Old videos still Saving lives today!
i am preparing for actuary exams.Your vedios are my favorites for statistics. I like your presentation. This is a very great service. I thank you. I wish you and your family all the very best .
Hey Bharati, I'm also preparing for IFOA CS1 exams. Please suggest me resources if you're free. And, it's been 5 years... If you don't mind, help me here.
Love the technique. Beginning with a thought experiment prior to content is my preferred way of learning. Made perfect sense. Thanks much. Going to now watch the remaining 129 videos.
Hello and thank you! The overall interval spans $1, but each increment is 1-cent. So 100 "sides" to the die. Hope that helps and thank you so much for sharing!! - B
You are saving my life with these videos!!!!
Hello! Oh thank you so much. :) If you go to my channel page all of my videos are organized by playlist and topic sequence. There is no way to order them ahead of time because I skip around. RUclips does a terrible job with playlists as well. So check out the Playlists on my channel page. All the best! - B
you're a better teacher than my professor . Great video!
I just discover your video, it really simple but powerful intuitive with image.Thanks
Hi Brandon, I'm finding your videos very helpful, but I have a question about your examples for discrete and continuous variables. Correct me if I'm wrong, but it strikes me that he average family income to the nearest cent is also a discrete variable as there is a set interval of at least one cent between each possible data point. A cent is the smallest possible unit of currency and it cannot be subdivided. Granted the range of the data is theoretically infinite, but there is always a set interval between data points which is what I have always thought defined a discrete variable.
James
Really appreciate the tutorial. Dispelled all the ignorance.
very grateful for your enlightenment. thanks and MORE GRACE
You're videos are awesome!
I wish I knew the order though. I am new to the channel and I feel like I'm jumping from a concept to another. Maybe a link to the next video at the end of the lesson would be nice.
Keep it up!
thanx so much you really explain this stuff @ 7:08 to 7:27
excellent. thank you!
I'm not sure I agree with your description of household income as continuous. Although the difference between 40,000.00 and 40,000.01 is small and not incredibly important to most people, it is discrete in that you will never have someone with 40,000.005 or any other fraction of one cent.
I understand that it makes for an interesting example, but continuous means infinitely divisible like time or oil pressure. Shoe sizes come in half inches, but they are not continuous.
Is it correct to say the main difference between discrete and continuous is that the discrete converted or reduced to an interval that is meaningful? Is this essentially the way to think of the differences?
Thank you sir the video is realy helping
Thank you! Going to look up the next two.... :)
Treasure discovered!
thank you . god bless you
zuhair alzadjaly Thank you zuhair! I feel very blessed each and every day. Same to you. Best, B.
Awesome Videos! I have shared this with my class and they all love it.
Please help clarify about 3:50-4:00 Min time mark; Did mean to say 1 cent interval or $1 is correct, it doesn't add up for me.
can you please some sites for extra practice??? and thank you so much your videos are so useful.
Hi Brandon,
thank you for great job! I see the PL02 is missing, so could you please give me some advice which videos should I watch in order to go to PL03? I'm just starting with statistics, so it will be extremely helpful (I don't want to miss anything) :)
I also think that it will be super nice to order the videos even inside the playlist (just like a simple number in the brackets or name of the video we should watch next at the end of the previous one), just to make it clear.
Thanks!
thankyou!
Tnx a lot
Do you have a specific order for these videos? I am taking a statistics class and need to do better in writing my research questions.
I don't think that is how most people view money (physical cash). Although financial institutions certainly do and they make a lot of money off of the fact.
And the shoe sizes versus feet size was the classic example that I learned between discrete and continuous variables.
Thank you!
super sir tanq so much
These videos are awesome! Do you have any on probability? They are excellent. Subscribe!
I appreciate it
Jerome Colico 😈😣😘kqkoowkwkpap9q01moooOzkakkoO,alallppalallalppp,alallapplalalal
I am trying to use your utube videos as a form of lectures for myself. But a) I am not sure of the sequence that I should follow b) I wonder if there are any exercises that you provide for a student to know that they have mastered the concepts and c) if there is a textbook that can be used to accompany the lectures. grateful if you can answer. NY
Hello! All my videos are in playlists here: ruclips.net/user/BCFoltzvideos?view=1&flow=list
I have not created exercises beyond the videos because that is a huge undertaking. My favorite textbook is Anderson, Sweeney, and Williams - Business Statistics. If you can find a used copy to have as a reference I highly recommend it. All the best! - B
***** Oh! fantastic, thats my very favorite too.
Great .
Very good :-)
Hi, thank you for that -fantastic content! I am trying to use it in a logical sequence. I see your playlists, but I do wonder is discrete probability playlist in right order ? At the first video you refer to some content that is in the last video etc. what should be the right sequence to watch this ?
Michal Szczecinski Hello! :) Best place to go is the playlist page: ruclips.net/user/bcfoltzplaylists and from there everything is labeled. Once you are in a playlist they are all in sequence. Let me know if you have any problems. Thanks!
***** Thank you for your reply, I think playlist pl05 is out of order, when I open it I see random variable basics etc are at the end of the playlist whereas binomial and poisson topics are at the top. Is that how it supposed to be? Watching from end and then jumping into those topics made more sense :)
Michal Szczecinski I will check it out for sure. Thanks!
Michal Szczecinski Yep! The random variable vids were at the bottom for some reason. Let me know if the new order looks correct.
***** Thank you, that looks great ! :)
Are random variables the same as outcomes?
+Moose Way Not quite. The way it's phrased in the video is quite confusing; it describes the RV the way one might describe an outcome. But they're fairly different things. The outcome is the "underlying structure" of the event. The RV is a function that maps from the outcomes. It's based on the outcomes, but it's a separate entity.
where is playlist 4?
can i ask something?
One person and a leg lol.......
Born teacher
can uplease answer my message?
NOOOOO!!! please be more precise in this video, prices of homes is absolutely NOT a continuous random variable. It's really not that hard to talk about using a continous R.V. to estimate things about a discrete random variable. It so leads into the concept of using a Normal Distribution to Estimate a large Binomial Distribution (almost continuous, but still discrete. I understand it's easier to just gloss over this concept by saying that if the possibilities of the RV are large enough then it is continuous. It's like your afraid that people will get confused, and they will if you go to fast. But be slow and precise and you will find that people are not idiots! Things are actually easier to understand if your more precise, more mathematical in your presentation of concepts.
I love your videos on Hypothesis testing, but this... Pleeaase!