Random Variables and Probability Distributions

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  • Опубликовано: 9 сен 2024

Комментарии • 203

  • @bonggenie3611
    @bonggenie3611 4 года назад +60

    "How are you paying today?"
    Me: "Goat"

  • @abrohamproductions8263
    @abrohamproductions8263 3 года назад +18

    Luke is the most serious ice cream man I've ever seen. 😐🤔

    • @DrNic
      @DrNic  3 года назад +5

      Ice cream selling is a serous business. Those cones keep breaking and people try to pay with goats!

    • @RMatt2016
      @RMatt2016 2 года назад

      @@DrNic unfortunately, type of payment cant be measured with random variables!

  • @lakshita1408
    @lakshita1408 3 года назад +19

    you explained it better in 4 minutes what my professors couldn't in hours. Thank you for simplifying the concept and making it interesting.

    • @DrNic
      @DrNic  3 года назад

      Glad it helped!

  • @ASHOKKUMAR-jm6yn
    @ASHOKKUMAR-jm6yn 5 лет назад +13

    I just love the way u make things easy.... Lots of love from India

  • @hongyunxu6018
    @hongyunxu6018 5 лет назад +8

    Best explanations that I've seen so far, thank you!

  • @ajayhemanth
    @ajayhemanth 7 лет назад +6

    Amazing Video !
    Best explanation for - WHY RANDOM VARIABLE is needed ...
    Thank you for taking pain to make such a fabulous video ...

    • @DrNic
      @DrNic  7 лет назад +1

      Thanks - I had the same problem when I was first working out what a random variable was, so I'm glad it helps you.

  • @naeemurrahman8767
    @naeemurrahman8767 7 лет назад +9

    Love your video and the method through which you've explained everything.

  • @giselegiram
    @giselegiram 7 лет назад +21

    Great explanation, all your videos are really helpful. Go Statistics Learning Centre!! Thanks.

  • @rishabhdude6750
    @rishabhdude6750 9 лет назад +16

    this videos is fab and mam you teach awsome

    • @DrNic
      @DrNic  9 лет назад +6

      rishabh dude I'm so glad you like it.

  • @felizijaime1655
    @felizijaime1655 3 месяца назад

    That is the best explaination I´ve ever seen. Thanks!

  • @giangnguyen-cp2vo
    @giangnguyen-cp2vo 4 месяца назад

    thank you so much for helping me to understand these kind of things

  • @curiouscraw3927
    @curiouscraw3927 3 года назад +1

    I have discovered your channel minutes ago and already know that those brilliant lovely videos are going to help me survive my stochastics exam - thanks a lot and lots of respect for your work! I really appreciate the details in your videos - the dragon card game, the fact that the ice cream guy has a cochlear implant... amazing!
    Best wishes!

    • @DrNic
      @DrNic  3 года назад

      That is great to hear. We try to be inclusive of different ethnicities and wanted to include a disability - thank you for noticing!

  • @danielmwangi4308
    @danielmwangi4308 6 лет назад +2

    The videos are of very good quality and very informative. They are a great resource for both learners and educators.
    Thank you.

  • @Ferdinaand
    @Ferdinaand 6 лет назад +2

    Excellent explanation & animations. So necessary to solidify the basics to take things further.

  • @md.hasanuzzaman1956
    @md.hasanuzzaman1956 5 лет назад +2

    Dr. Nic...Awesome...Magical explanation...Thank you so much

  • @Tlianscom
    @Tlianscom 8 лет назад +1

    quit easy to understand even for beginner.. keep it Ma'am

  • @tsuki6230
    @tsuki6230 7 лет назад +5

    Awesome video. Thanks

  • @eduardosa9658
    @eduardosa9658 4 года назад

    Great work! Finally some basic explaination you can apply Statistics to gain some money in real thing and not to lose money in gamble statistics. :D

    • @DrNic
      @DrNic  4 года назад

      Glad it was helpful!

  • @ajaykharat8689
    @ajaykharat8689 5 лет назад +4

    Hi Dr. Nic,
    This is my first comment on RUclips.
    I found your entire series on statistics so easy to understand, crystal clear and engaging.
    I would like to thank you for :-
    1. Great effort.
    2. Nobel work.
    Thanking you on behalf of 1.35 billion Indian .
    You should have some teaching sessions in India.
    If possible try for it..
    And lastly most important you are gorgeous...

  • @k.c.krishna9570
    @k.c.krishna9570 4 месяца назад

    U helped me in my frm preparation.thankyou

  • @sattikbiswas2187
    @sattikbiswas2187 4 года назад +1

    Awesome Video. Thank you so much ma'am.

  • @vikasmeenaofficial
    @vikasmeenaofficial 6 лет назад +1

    THANKS ......you are a great teacher

  • @askariaziz4163
    @askariaziz4163 6 лет назад +1

    Thank you very much for the video it was so helpful in developing my understanding.

  • @checilleabitria3356
    @checilleabitria3356 5 лет назад +1

    very clear explanation! thanks a lot maam.

  • @rishi680
    @rishi680 4 года назад

    *My **B.tech** completed but did't undersatand little bit about random variable,but today i saw this video, and it seems it is too easy bcz of you only,thanks mam*

    • @DrNic
      @DrNic  4 года назад +1

      I didn’t understand either for years until I had to teach it. It really isn’t tricky, but somehow we just don’t get it

  • @xueyeelee4512
    @xueyeelee4512 4 года назад

    amazing explanation!!! im clearly understand what you are teaching in the video with a simple and interesting example!!

    • @DrNic
      @DrNic  4 года назад +1

      Glad it was helpful!

  • @ibrahimswaray7459
    @ibrahimswaray7459 Месяц назад

    Best explanation ever.

    • @DrNic
      @DrNic  День назад

      Thanks

  • @SuperDananjaya
    @SuperDananjaya 3 года назад

    Ma'am, you answered a number of questions, I was looking forward the answers for! Great!

    • @DrNic
      @DrNic  3 года назад

      Glad it was helpful!

  • @tidalfriction5301
    @tidalfriction5301 Месяц назад

    Savior!!! THANK YOU THANK YOU!!!!

    • @DrNic
      @DrNic  День назад

      Most welcome

  • @raghavmoar3211
    @raghavmoar3211 4 года назад

    Thanks for letting know what cannot be a random variable

    • @DrNic
      @DrNic  4 года назад

      Happy to help. Sometimes it is more important to know what a category excludes as well as what it includes.

  • @vijayashekhars.s9421
    @vijayashekhars.s9421 7 лет назад +4

    Nice Video..

  • @suhadandis9383
    @suhadandis9383 7 лет назад +4

    Thank you

  • @natdeu
    @natdeu 7 лет назад +1

    Thank you so much for this video!

  • @ianjaydelosangeles3173
    @ianjaydelosangeles3173 9 лет назад +1

    very well presented video! u earned a subscriber maam.

  • @GatewayTOEM
    @GatewayTOEM 2 года назад

    I got 7/7. This is because you explained it well.

    • @DrNic
      @DrNic  2 года назад

      Good for you. I think questions help people reinforce their learning

  • @buglaudonglai9728
    @buglaudonglai9728 8 лет назад +1

    Great video! It helps me a lot.

  • @simran_kaur963
    @simran_kaur963 7 лет назад +1

    fabulous m glad i find your video

  • @GerritParker
    @GerritParker Год назад

    So Awesome! Thank you.

  • @Gia-Gia
    @Gia-Gia 3 года назад

    Thanks for your lesson, it's very useful and easy to understand

    • @DrNic
      @DrNic  3 года назад +1

      Glad to hear that. I found the concept difficult when I first learned it, so I wanted to make it easier for other people.

  • @PlacesWeveBeen
    @PlacesWeveBeen 5 лет назад

    Very helpful explanation. Thank you!

  • @akshatjoshi391
    @akshatjoshi391 3 года назад

    Thank you for not bringing in a fair coin. Video was very helpful :)

    • @DrNic
      @DrNic  3 года назад

      I hear you! So sick of coins, dice and balls in urns!

  • @jimmyhaotran123
    @jimmyhaotran123 4 года назад

    Great explanation. Just want to add that the first example of cakes and bananas, could be random variables if you assign specific numbers of each specific case.

    • @DrNic
      @DrNic  4 года назад +1

      You need to be careful how you phrase this. If you are counting how many cakes or bananas over several events then this could be a random variable. If you assign a code number such as 1 for cake and 2 for banana, then this is not a random variable.

    • @DrNic
      @DrNic  4 года назад +1

      @Semhar Yohannes You could have a random variable for the number of bananas or the number of apples. If you arbitrarily assign code numbers you cannot perform operations on them. One way I check is to say, would it make sense to find the mean cake? or the mean fruit? Your numbers 0 and 1 are not just code numbers, they are a measure of how many heads you have flipped.

  • @abhisheks5625
    @abhisheks5625 Месяц назад

    Got the concept and the answers correct.

    • @DrNic
      @DrNic  День назад

      That's great

  • @JoJo-il3qe
    @JoJo-il3qe 5 лет назад +1

    Thanks it's so useful.pls share vdo about booles inequality

  • @mahmoudfathi8249
    @mahmoudfathi8249 2 года назад

    Finally I like statistics :D

  • @leraheva8485
    @leraheva8485 5 лет назад

    Great job on explaining Random vAriables.

    • @DrNic
      @DrNic  5 лет назад

      Thanks - I've taught it quite a few times and know what makes it difficult for most people.

  • @suchitrakulkarni4559
    @suchitrakulkarni4559 3 года назад

    Beautifully explained!😍

    • @DrNic
      @DrNic  3 года назад +1

      Thanks a lot 😊 I found the concept difficult when I first learned it so I can understand how others might struggle.

  • @z.r1999
    @z.r1999 3 года назад

    OMG ...! Great video Mam

    • @DrNic
      @DrNic  3 года назад +1

      Thanks a lot 😊

  • @irismo6566
    @irismo6566 2 года назад

    very great explanation thx

    • @DrNic
      @DrNic  2 года назад

      Glad it was helpful!

  • @DrNic
    @DrNic  8 лет назад +3

    In order to make money we had to restrict access to some of the videos. Email me at n.petty@statslc.com and I'll give you access to the ones we have finished. The script for the video about the normal distribution has been written, so the video should be up in about a month.

    • @biggykwon9648
      @biggykwon9648 6 лет назад

      How did you find the value of P(X=x) . What did you do?

  • @srinivasp662
    @srinivasp662 6 лет назад +1

    Thanks.

  • @tellmeyourwish
    @tellmeyourwish 6 лет назад +1

    Thanks a lot! :)

  • @WishachieverZ
    @WishachieverZ 7 лет назад

    thank you so much for the help I understand now!! and if you are the one on videos your funny with your animations jaja. thank you

  • @Lejhand10
    @Lejhand10 3 года назад

    well explained ! Thank you

    • @DrNic
      @DrNic  3 года назад

      Happy to hear it

  • @REEMA-mo3hf
    @REEMA-mo3hf 3 года назад

    Such a great video thank you so much doctor Nick♥️♥️♥️♥️

    • @DrNic
      @DrNic  3 года назад

      You are so welcome!

  • @shawnmarquez6714
    @shawnmarquez6714 4 года назад +1

    you make me smirk

  • @ahmedmjhool4822
    @ahmedmjhool4822 9 лет назад +3

    Cool Beans!

  • @xuanquangnguyen2291
    @xuanquangnguyen2291 4 года назад

    So great video, thank you so much

    • @DrNic
      @DrNic  4 года назад

      You are so welcome!

  • @naveenrajr1793
    @naveenrajr1793 6 лет назад +1

    Thank you Mam

  • @rameshaafridi3050
    @rameshaafridi3050 6 лет назад +1

    amazing

  • @selinacamina1177
    @selinacamina1177 3 года назад

    thank you for this!

    • @DrNic
      @DrNic  3 года назад

      You're so welcome!

  • @hole01
    @hole01 2 года назад

    Dr.Nic, Thank you very much. Just one question: I'm not sure if the number of ice creams ordered by a customer is random. Given that ice cream melts and most people would only buy one or two unless they were throwing a big party, I don't think this is a random situation. Could you please elaborate? I agree that this is a much more entertaining example than the traditional coin toss.

    • @DrNic
      @DrNic  2 года назад +1

      Mostly people buy one or two ice creams, but a family of four would generally want four ice creams. Having said that, that is not what random is about. A random variable can take a range of values and we have some idea about what values they can take and how likely the different values are. Random does not mean any number at all. THis might be useful: creativemaths.net/blog/random-meaning/

  • @Privacy-LOST
    @Privacy-LOST 5 лет назад +1

    I was the 1000'th like for this video. How Random is that...

  • @shaikabid5311
    @shaikabid5311 5 лет назад +1

    thank you mam

  • @umadevi8125
    @umadevi8125 4 года назад

    Super teaching

  • @MayankRamnani1802
    @MayankRamnani1802 7 лет назад

    Great Video! Can we assume that random variable concept comes under empirical probability (experimental) as the probability here is based on past outcomes (and events are clearly not equally likely) or it can be used under axiomatic approach also?

    • @DrNic
      @DrNic  7 лет назад

      The concept of a random variable applies to all probability, regardless of the source of the model (experimental or theoretical/axiomatic/a priori. A binomial distribution is a theoretical model, as is a normal distribution. Sometimes data from historic values form a better approximation of the future than a theoretical model. You might like to watch our video, Probability 1 for a fuller description of that. Equal likelihood is not really an issue either way.

  • @stephanie_ong
    @stephanie_ong 5 лет назад

    great video!

  • @santhoshnaidukoribilli
    @santhoshnaidukoribilli 2 года назад

    superb

    • @DrNic
      @DrNic  2 года назад

      Thanks 🤗

  • @jeniferseighman
    @jeniferseighman 8 лет назад +1

    great vid fam

  • @riddle-master-ruben
    @riddle-master-ruben 2 месяца назад

    Why is marital status not a random variable? If the sample space is married or unmarried, {M, N}, we can assign the random variable X to be 1 if the couple is married, and 0 if unmarried, so that X(M) = 1 and X(N) = 0, hence a Bernoulli random variable.

  • @yuvaliko
    @yuvaliko 7 лет назад

    great. thank you =]

  • @johnnguyen3115
    @johnnguyen3115 10 лет назад +2

    good

  • @shaikabid652
    @shaikabid652 3 года назад

    Your underrated

    • @DrNic
      @DrNic  3 года назад +1

      Thanks. Tell your friends and maybe that will help me get more views.

  • @rishabhrockstar5739
    @rishabhrockstar5739 7 лет назад +1

    lovely

  • @rudrashukla9220
    @rudrashukla9220 9 лет назад

    awesome
    ...

  • @mlem7108
    @mlem7108 3 года назад

    Hi Dr Nic,
    Thanks for your videos.
    My lecturer said random variables are a mapping of all possible outcomes to real numbers.
    Can't we map stuff like colour or marital status to numbers?
    Like, marital status would be a Bernoulli trial (I think) and for colour we could use numbers to label them like Red Green Blue on a computer (another example of a continuous random variable?).
    Thank you very much.

    • @DrNic
      @DrNic  3 года назад +3

      Strictly speaking you can have nominal random variables, such as colour or marital status, but it is not usual to call them random variables. The point about random variables is that the numbers make sense, and that it makes sense to find, for instance, the mean or expected value of the random variable. If the numbers are arbitrarily assigned, they are not random variables.
      I'm not sure what your lecturer is referring to.

  • @somcana
    @somcana 2 года назад

    qualitative variable are not considered random variables? Is that accurate understanding? I thought you can still do distributions with them but not probability?

    • @DrNic
      @DrNic  2 года назад

      You can call qualitative variables random variables, but at this level it's not much use as you can't use them in mathematical formulas etc.

  • @richarddemeny611
    @richarddemeny611 9 лет назад

    Love it

  • @iidtxbc
    @iidtxbc 4 года назад

    Thank you for the video! I just wonder what could the sample space be for the ice-cream sales example?

    • @shamanthks7218
      @shamanthks7218 2 года назад

      S = Number of ice creams bought by customers in a single visit.
      S = {1, 2, 3, 4, 5, 6}

  • @thanaseelana7298
    @thanaseelana7298 9 лет назад

    awesome

  • @littlelilly7480
    @littlelilly7480 13 дней назад

    for marital status we can use random variable right like for married 1 and for unmarried 0

    • @DrNic
      @DrNic  День назад +1

      You could, except there are more categories than those and you can only use the number as an indicator, not a value.

    • @littlelilly7480
      @littlelilly7480 15 часов назад

      @@DrNic thank you for clarifying it, such a unique way of teaching data science, love it

  • @Privacy-LOST
    @Privacy-LOST 5 лет назад +1

    How many cones can one get for a goat ?

  • @queensaharaice7376
    @queensaharaice7376 6 лет назад +1

    250% better than Khan academy ad Wikipedia.

    • @DrNic
      @DrNic  6 лет назад

      We like to think so! ;)

  • @minimaxPFC
    @minimaxPFC 5 лет назад

    You said that we can not use random variables to model the type that customer use to pay ice cream, but if we assign 1 if it's payed by cash, 2 payed with card, can we then use random variables?

    • @DrNic
      @DrNic  5 лет назад

      Nope - the numbers do not mean anything, but are arbitrarily assigned. You cannot add them together, for instance.

  • @masterzoruko9680
    @masterzoruko9680 3 года назад

    How did u get ur P(X=x)?

  • @mnhlhmo7967
    @mnhlhmo7967 4 года назад

    Please answer my question
    Why we use the term (random variable), if we do a study we determine the variable of interest firstly (such as, body weight, blood pressure). So, what is the difference between (study variable) and the (random variable). Thanks in advance

    • @DrNic
      @DrNic  4 года назад +1

      I am not familiar with the term "study variable", but I can see what it means from what you are saying. I would say that study variables are random variables. But not all random variables are study variables. Random variable is a name for a concept. Ask some more if this is not clear yet.

    • @mnhlhmo7967
      @mnhlhmo7967 4 года назад

      @@DrNic Thank you very much
      What I mean by (study variables) is in any study we collect data in term of variable (The characteristics we measure are called variables). Now, is there any difference between (study variables) and the term (random variable).

    • @DrNic
      @DrNic  4 года назад +1

      A study variable is a specific instance of a random variable. You collect data in the form of values that the variable takes in order to find a theoretical model for that random variable.

  • @RushiLadani1995
    @RushiLadani1995 5 лет назад +1

    but can we not measure the method that the customer is paying us in and their ethnicity. Can wealso not measure the type of topping that they choose ? I think we can.If I can, does that make them a discrete random variable ?

    • @DrNic
      @DrNic  5 лет назад +1

      Things like the method and ethnicity are categorical measures that do not have a quantity associated with them. For example method would equal cash or credit card, and ethnicity would equal European, Asian, Pasifika etc. These are not numeric values, and thus are not random variables. We can record these values, but they are not something that has a numeric measure. You might like to watch our video about types of data to clarify this.

    • @maryamnizami7746
      @maryamnizami7746 5 лет назад +1

      @@DrNic Hello maa`m, but won`t they become random values if we assign them a discrete value, like in case of coin toss our random variable becomes X={ 1 if heads, 0 if tails, now if we model the payment method in such fashion Y = {1 if credit card, 0 if cash , then will it become a random variable? Thanks

  • @lithingowda1106
    @lithingowda1106 4 года назад

    you are awesome

    • @DrNic
      @DrNic  4 года назад

      Thank you! I do what I can.

  • @amenancoubourasidiki9219
    @amenancoubourasidiki9219 7 лет назад +1

    cool

  • @igniters5146
    @igniters5146 4 года назад

    does play a certain lottery
    by buying one ticket per week a random variable?

    • @DrNic
      @DrNic  4 года назад

      The amount the ticket could win is a random variable.

  • @043mehdi
    @043mehdi 6 лет назад

    4:44 hawking approves

  • @saeeduchiha5537
    @saeeduchiha5537 9 лет назад

    great video, except the "Coming Soon" videos never came!

  • @curiouspuzzles3098
    @curiouspuzzles3098 8 лет назад

    When are the other videos coming up?

  • @amrabdelhakim1585
    @amrabdelhakim1585 4 года назад

    can you please explain why the color of a tulip flower is not a random variable?

    • @DrNic
      @DrNic  4 года назад +2

      Usually random variables take numeric values, whereas the tulip colour is not a number. If you had four tulips then the number of pink tulips out of the four would be a random variable.

    • @amrabdelhakim1585
      @amrabdelhakim1585 4 года назад

      @@DrNic In my sick mind I somehow assigned numbers to colors and wondered why are the colors not represented by a random variable. Thank you Dr. Nic

  • @vaibhavpratapsingh9956
    @vaibhavpratapsingh9956 Год назад

    the answer of two people being married could be true or false so won,t we consider it as discrete random variable

    • @DrNic
      @DrNic  Год назад +1

      You could call it a nominal random variable if you were being very strict about it. However you cannot do any numerical operations with the value of married or not, so you would not usually call it a random variable.

  • @venumadhavmenday132
    @venumadhavmenday132 2 года назад

    Thank you, Dr. Isn't marriage status a random variable (binomial)

    • @venumadhavmenday132
      @venumadhavmenday132 2 года назад

      I meant bernoulli

    • @DrNic
      @DrNic  2 года назад

      In most cases it would include married, never married, divorced, widowed, and then you get to civil union etc.

  • @btssuejibae8130
    @btssuejibae8130 4 года назад

    why is the length of the stem of the tulip not discrete?

    • @DrNic
      @DrNic  4 года назад +2

      The length of a tulip stem is measured and can take a continuous range of values. For example it could be 230 mm or 231 mm or 231.5 mm or 200 mm etc. Discrete variables are usually used for when we count things rather than measure them. So number of tulips would be a discrete variable.

    • @btssuejibae8130
      @btssuejibae8130 4 года назад +1

      @@DrNic i figured it out now 😅 but thank you so much for responding!!

    • @DrNic
      @DrNic  4 года назад

      All part of the service!

  • @Ryugaa007
    @Ryugaa007 Месяц назад

    Checking marital status is not a random variable. .. why ??

    • @DrNic
      @DrNic  День назад

      It is not a numerical random variable, which is the usual interpretation for a random variable.

  • @mayramtokov7542
    @mayramtokov7542 Год назад

  • @yogitashinde5475
    @yogitashinde5475 5 лет назад

    Mam please teach Markov chain

    • @DrNic
      @DrNic  5 лет назад

      I will bear that in mind. I've always enjoyed Markov chains.