# Questions tagged [probability]

A probability provides a quantitative description of the likely occurrence of a particular event.

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### Distribution function of the linear combination of standardized student-t quantiles [duplicate]

Assume to observe 2 quantiles, x and y, associated with the z% probability. These quantiles are generated by 2 non-independent standardized student-t distributions X and Y. In case of linear ...
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### When I have population data do I need probability and can I infere? [duplicate]

Say I have data about a population and I want to analyze them, then in my understanding the "sample" is the population. And then do I need probability, like p-values, confident intervalls ...
1 vote
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### Calculating Probability Using Bayes? [closed]

A recent survey of residents in Texas concluded that 55% of Austin city residents and 46% of Houston city residents broke a bone at some point during their childhood. Let’s say Austin has 5200 ...
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### Fitting Sparsed Constrained regression with non-negative coefficients adding to 1

I see a similar problem in How do I fit a constrained regression in R so that coefficients total = 1? Specifically, my model is $Y_i= \pi_1 X_1+\pi_2 X_2 +...+ \pi_K X_K +\epsilon_i$ with $\pi_k \ge 0$...
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### probability that the players will exchange their initially drawn number

Consider the following two-player game. The players simultaneously draw one sample each from a continuous random variable X, which follows $Uniform\ [0, 100]$. After observing the value of her own ...
1 vote
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### Notation of expectation with conditional in subscript

Inside the book "The Elements of statistical learning", I stumbled upon the following notation (Ex. 2.7) $$E_{\mathcal{Y|X}}(f(x_0) - \hat{f}(x_0))^2$$ where $\mathcal{X, Y}$ are two random ...
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### What is the intuition behind the odds scale?

What is an intuitive explanation of the odds scale? In a logistic regression such as $$logit(p) = \beta_0 + \beta_1 x$$ we often interpret $\beta_1$ by looking at the odds ratio, $e^{\beta_1}$, which ...
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### How to calculate real probability with multiple scenarios?

I would like to know how to calculate the probability of being profitable on an event where there are multiple scenarios. For example paying 5 dollars to grab a bill from a box box full of bills where ...
1 vote
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### Conditioning of join gaussian over a line

I need to compute the conditional probability of bivariate normal distribution over a line. Let's suppose that X and Y both are normal distributions and that they are independent. Let's suppose that ...
1 vote
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### What is the probability mass function of Rock, Paper, Scissors?

I was curious about the statistics behind the game of rock, paper, scissors. Let's say n people are playing, where n is greater than or equal to 2. If when all n people reveal their play and only 1 ...
1 vote
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### General way to describe dot product of N different random variables [duplicate]

I'm a novice to DS, so feel free to correct me. Imagine we have $N$ biased coins each with different probability of getting heads (which are known to us prior). What's the probability of getting $k$ ...
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### Conditional probability problem (Bayes Theorem ?) [closed]

Hello, basically, I can't find 1/2 for the very last question. I tried to use the Baye's Theorem, but it wasn't successful Could someone help me ?
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### Given 15 random birthdays in a year, what are the odds that there are at least 120 consecutive days in a year without a birthday? [closed]

The 120 days can be shared between consecutive years too, such as roughly November through February.
1 vote
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### Do Mixture Models "Defy" Entropy?

Recently, I have learned about the principle of Maximum Entropy with regards to Probability Distribution (https://www.youtube.com/watch?v=2gTrsLVnp9c) - in particular, when certain "information&...
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### Expected value of a random variable with truncation

Let $f:[0,\infty)\to \mathbb R_+$ denote the PDF of a random variable $X$ and $c>0$ a constant. I want to evaluate the following integral: $$I(c)=\int_0^\infty{\min(x,c)f(x)dx}.$$ This can be ...
407 views

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