Distribution of Random variables

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Chung Di
Chung Di 2017-11-23
评论： Dyuman Joshi 2023-11-13
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 2023-11-11
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 2023-11-13
@Sasi what have you tried yet?
See Walter's answer below for a hint.

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回答（1 个）

Walter Roberson
Walter Roberson 2017-11-24
n = 2000;
histogram( sum(rand(1000, n)), n/10 )
What do you observe?
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Chung Di
Chung Di 2017-11-24
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 2017-11-24
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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