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# Questions tagged [uniform-distribution]

The uniform distribution describes a random variable that is equally likely to take any value in its sample space.

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### How do I measure the regularity of the distribution in a list of binary data?

Suppose I have a list list = [0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1], which gives information about whether a person was sick on a day (1) or not (0), since ...
1 vote
1 answer
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### A set of values ​from a discrete uniform distribution is scaled down by the same factor

Use MATLAB's randi function to generate a set of values ​​that conform to discrete uniform distribution, such as {0,1,2,3,4,5}. If this set of values ​​is divided by an integer 10 at the same time, ...
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### Conditional Expectation in Uniform Case

Let $X$ and $Y$ be independent random variables where $X \sim uniform[\underline{x}, \bar x]$ and $Y \sim uniform[\underline{y}, \bar y]$. What is the conditional expectation of $X$ given $z = X + Y$? ...
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### Distribution of a sum of linear combinations of random variables, each drawn from a set of random variables

Question. Let $X_1, X_2, ..., X_n$ be a set of normal random variables, each with variance ${\sigma }^2$ and mean 0. For each $i,j$ in pair in $X$, $Cov(X_i,X_j)=V$. Further, let $Y_1, Y_2, ..., Y_m$ ...
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### Distribution of $\min_{j\ge 1}(X_1+X_2+\cdots+X_j)/j$ when $X_i$'s are i.i.d $\text{Exp}(1)$

Suppose $(X_n)_{n\ge 1}$ is a sequence of independent Exponential random variables with mean $1$. I am trying to find the distribution of $\min_{j\ge 1}(X_1+X_2+\cdots+X_j)/j$. Simulation suggests the ...
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### How to interpret a qq plot of uniform distribution whose slope is greater than 1

I am trying to interpret a qq plot of a uniform distribution in R where the plot is as shown in the image. The qq lines are a kind of straight but the slope of these lines way greater than the 45 ...
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### Probability distribution derivation given histogram of outputs

I'm not too versed in statistics, but I am currently dealing with a problem that pertains to probability. If any assumptions are off on my part, please correct me. I have a 2D polynomial function of ...
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### What is the distribution of a uniform with a bound drawn from a uniform?

Suppose I have a uniform distribution $X \sim U[a,1]$ with $a \sim U[c,1]$? How can I characterize the CDF of X?
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1 answer
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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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### Calculate the long-term probability

The following question is an interview question about probability: There is a list of items and how many times each item is purchased (range from 10 to 100,000 times). The probability of users buying ...
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1 answer
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### Conditional probability density of the ratio of two independent uniform random variables with different supports

Let $X = B * [(u + \epsilon_u) - C]$. $u$ represents a true measurement value. $\epsilon_u \sim U(-0.5, 0.5)$ represents the error associated with that measurement value. $u + \epsilon_u > 0$. $B$ ...
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### Conditional probability density of the sum of an uniform random variable with a constant

I am interested in the conditional distribution of the sum of a uniform random variable and a constant. Let $X = d + \epsilon_d$. $d$ is the true measurement value. $\epsilon_d$ is the error in the ...