Distribution of Random variables

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Chung Di
Chung Di le 23 Nov 2017
Commenté : Dyuman Joshi le 13 Nov 2023
I am trying distribution of a random variable X=Y1+Y2+……+Yn where Y1,Y2…,Yn are i.i.d. uniformly distributed random variables? What can you conclude from the resulting PDF?
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Sasi
Sasi le 11 Nov 2023
Consider the random variables 𝑌1 = 𝑋1 and 𝑌2 = 𝑋1 + 𝑋2 in answering the following: 7.1 If 𝑋1 and 𝑋2 are uniform random variables, plot the scatter diagram of 𝑌2 vs. 𝑌1 using MATLAB. What do you notice?
Dyuman Joshi
Dyuman Joshi le 13 Nov 2023
@Sasi what have you tried yet?
See Walter's answer below for a hint.

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Walter Roberson
Walter Roberson le 24 Nov 2017
n = 2000;
histogram( sum(rand(1000, n)), n/10 )
What do you observe?
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Chung Di
Chung Di le 24 Nov 2017
That's the thing I am confused. I already done the coding. Actually I do not understand this part: What can you conclude from the resulting PDF?
Walter Roberson
Walter Roberson le 24 Nov 2017
If you
histogram(sum(rand(5000,2000)),200)
then what distribution does the shape look like? Here, the 5000 is the number of variables being added together.
Hint: "central limit"

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