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Tagged with sum uniform-distribution
10
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PDF of difference of uniform distributions [duplicate]
Main questions are in bold but feel free to correct me if I'm wrong somewhere else. As far as possible, I need both intuition and formal explanation.
Let $X \sim Uniform(a,b)$ and $Y \sim Uniform(c,d)$...
0
votes
1
answer
85
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Why is the distribution of the sum of the values on two dice bell-shaped and symmetric if two uniform dist is triangular distribution?
Why is the distribution of the sum of the values on two dice bell-shaped and symmetric if two uniform dist. sum is triangular distribution via Irwin-hall distribution?
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4
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3
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139
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Sum of Discrete Uniforms, but each value can be picked no more than N times?
Suppose there are i.i.d. variables $X_{1,..n}$ with discrete uniform distribution with the support $[1, n]$. What would be the distribution of such a sum if we introduce the condition that each value ...
- 131
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Probability that any element of a random unit-length vector is large [closed]
Given a vector $X \in R^n = \{x_1, x_2, ..., x_n\}$ drawn uniformly such that:
$x_i \in [0, 1]$ for all $i$; and
$\sum x_i = 1$,
how would you find the probability that any of the $x_i > y$, for ...
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3
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795
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If $20 $ random numbers are selected independently from the interval $(0,1) $ probability that the sum of these numbers is at least $8$? [closed]
If $20 $ random numbers are selected independently from the interval
$(0,1) $ what is the probability that the sum of these numbers is
at least $8$?
I tried to take this question https://math....
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3
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102
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Mean number of throws to exceed a threshold [duplicate]
Say that you have a die with n faces, and you need to throw the die until the sum of your results exceeds a given threshold.
What is the average number of throws needed?
I think that to compute that ...
- 181
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1
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69
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probability distribution of a sum of random variables [closed]
Suppose we have a random variable $X$
$P[X=-1]=1/3$, $P[X=0]=1/3$ and $P[X=1]=1/3$
now let $Y=X^2$
we have $n$ independent realizations of $Y$ $(Y_1, Y_2,......, Y_n)$ what is the probability ...
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4
votes
2
answers
1k
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Does the sum of discrete uniforms converge to a discrete Gaussian?
Is there some analogous of the Central limit theorem for discrete uniforms and discrete normal distributions?
To be more specific, let's say we have identical and independent random random variables $...
3
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1
answer
209
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Convergence of sum of exponentially weighted random variables
I don't know if the title is accurate, but I have this problem:
I have iid RVs $Y_k$ that has a value from {0,1,...,9} with equal probability. I need to show that
$$
X_n = \sum_{k=1}^{n}Y_k10^{-k}
$$
...
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3
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Prove that sum of uniform distribution (-1,1) is also uniform (-n,n)? [duplicate]
If $d_i \in U(-1,1)$ (uniform distribution between -1 and 1 - not sure what the canonical notation is for this), then it seems intuitive that $\sum_{i=1}^n d_i \in U(-n,n)$ and thus $$P\big(\sum_{i=1}^...
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