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Discrete Random Variables: Distributions 2 

Dr Nic's Maths and Stats
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We explore the properties of a discrete distribution of a random variable for the number of ice creams sold. This includes finding the expected value, variance and standard deviation for the original distribution, two distributions added together, the distribution times a constant, and the distribution plus a constant.
Note that there is an error at 7:13. It should say Var (aX) = a^2 Var(X). (The constant is squared)
See creativemaths.net/videos/ for all of Dr Nic's videos organised by topic.
#DrNicStats #Statistics #Probability

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7 авг 2024

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Комментарии : 38   
@tunia8167
@tunia8167 4 месяца назад
9 years later and this video is still as helpful as ever , thanks dr❤
@DrNic
@DrNic 4 месяца назад
Happy to hear it
@jbrowsingj
@jbrowsingj 10 лет назад
Really excellent video. So easy to follow. I can't imagine it being any more clear than it is. Thank you!
@DrNic
@DrNic 10 лет назад
Thank you for your endorsement. We work really hard to make our videos as clear as possible, so this is great to hear.
@joaquinestremero8910
@joaquinestremero8910 5 лет назад
Thank you from Buenos Aires!
@lm58142
@lm58142 5 месяцев назад
7:12 it should be Var(aX) = a^2(VarX)
@miguelzavala1757
@miguelzavala1757 3 года назад
Really, Really great video! Easy to understand everything
@DrNic
@DrNic 3 года назад
Great to hear! That is what I aim for.
@mlem7108
@mlem7108 3 года назад
The notation at 2:!0 is a bit confusing. In Var(X) = E(X)^2 - [E(X)]^2 I didn't get that the E(X)^2 meant that the X is squared before we get the expectancy. Minor detail though, good video 👍
@johnhammer8668
@johnhammer8668 4 года назад
Very helpful. Thanks
@DrNic
@DrNic 4 года назад
Glad to hear it!
@themelbeliever
@themelbeliever 6 месяцев назад
Great video ma 😊 Thanks for the compensation 🤭
@paurushgargtube
@paurushgargtube 4 года назад
Really helpful video
@DrNic
@DrNic 4 года назад
Glad to hear that
@jiayiluo9260
@jiayiluo9260 5 лет назад
there is a small mistake on 7:13: Var(aX)=aVar(X)
@DrNic
@DrNic 5 лет назад
Thanks for spotting that. It looks as if the power of 2 has slipped down! Unfortunately there is no way to edit the video and put it back. I will see what I can do to put a card in.
@tarb92
@tarb92 5 лет назад
This was so clear! Although I still don't get how we go from a real world hypothesis to a probability value. What process determines us being able to say this is the "probability" this hypothesis is true.
@DrNic
@DrNic 5 лет назад
Thanks. In fact you should never say the probability the hypothesis is true. You say the probability of getting a result like this if the null hypothesis is true, which is similar, but not the same. Watch the video, Understanding the p-value ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-eyknGvncKLw.html to make that clearer. Then watch how to do hypothesis test in Excel, as it shows where the value comes from. ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Y3mGoW5w28c.html Hope that helps
@tarb92
@tarb92 5 лет назад
@@DrNic Thanks!
@caleb7k
@caleb7k 9 лет назад
Well, now I want ice cream.
@caleb7k
@caleb7k 9 лет назад
God I'm high.
@BRGstudypoint15
@BRGstudypoint15 2 года назад
Really very help ful video mam
@DrNic
@DrNic 2 года назад
Thanks a lot
@ayatadlaoui9744
@ayatadlaoui9744 4 года назад
thank you from morocco
@DrNic
@DrNic 4 года назад
You are welcome, from New Zealand. I love hearing from people from far away places.
@gavinbaumanis6078
@gavinbaumanis6078 3 года назад
Let's assume that I understand the Math - I don't but that's ok... What is the reasoning behind combining multiple distributions? Why would I use a constant? As always - Thanks!
@DrNic
@DrNic 3 года назад
In the video there are examples of each. If you have independent occurences from two different distributions, we would want to combine them, such as the number of ice creams bought by two customers. If you use a constant you might be looking at the amount spent - a constant amount times an item.
@prodroma
@prodroma 5 лет назад
DR. Nic, are you still receiving emails, i need your advice, can i contact you?
@DrNic
@DrNic 5 лет назад
Sure.
@memetrizwangul9277
@memetrizwangul9277 Год назад
Var(aX) = a^2*Var(X)right? I am a little confused by the summary at 7:16 of the video
@DrNic
@DrNic Год назад
Yes there is an error there, which is explained in the description.
@johnhammer8668
@johnhammer8668 4 года назад
Arithmetic on random variables is pretty hard to grasp intuitively.
@DrNic
@DrNic 4 года назад
It really is.
@johnhammer8668
@johnhammer8668 4 года назад
@@DrNic Phew. Acknowledgement from experts make me feel less stupid. Especially the random varibles which can take negative values is pretty non-intutive. Dr.Nic, I am struggling with computing the square of random variable for the past 5 days, if it is not too much hassle consider answering. I have made multiple post on math stack exchange and could not get an answer for this. Example: If P{X=−1}=0.2, P{X=1}=0.3. Then P{X^2 = 1} = P{X = −1} + P{X=1}= 0.5 . I understand if X^2=1 then X=±1. But why the probabilities are added, why not they multiplied ? Thanks
@DrNic
@DrNic 4 года назад
John Hammer Remember that OR translates to +. For x squared to equal 1 then X = 1 OR X =-1. Because there are two different ways to get x squared = 1 we are adding them together. Let me know if you need more explanation.
@johnhammer8668
@johnhammer8668 4 года назад
@@DrNic I was thinking about literal multiplication and it makes total sense when thinking about it as a venn diagram of events. Thanks so much Dr.Nic for understanding what i was missing exactly. Never thought youtube comments would be so much educational.
@DrNic
@DrNic 4 года назад
I like to help my viewers.
@ianjaydelosangeles3173
@ianjaydelosangeles3173 9 лет назад
3:24 lol. just got rekt. Hm, isnt that two persons both male?
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