Questions tagged [probability]
A probability provides a quantitative description of the likely occurrence of a particular event.
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How do i solve this problem on conditional probability [closed]
Where x~ u(0,4), what is P(X>Y|X<2Y)
I know that X lies between Y at the lower bound and 2Y at the upper bound but i am having trouble trying to figure out P(X<2Y) as none of the examples i ...
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Can someone give me an example of what a probability distribution looks like and its notation? [duplicate]
What is a probability distribution of a random variable X and what is the typical notation for a probability distribution?
Can someone show me an example of what a probability distribution looks like ...
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Help for a probability test comparing presence/absence of expected number between two entities
I have a probability problem I don't know how to solve.
In that problem I have a genome of a VirusA with 100 genes for which I know 20/100 are unique to this virus.
In the other end, I have another ...
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Identify density function from Laplace transform
I'm dealing with the following representation of a random variable in Laplace space. Can't guess the distribution that yields the formula. For $\lambda>0$
\begin{equation}
F(s)=\frac{\lambda}{B_\...
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Question regarding Poisson process [closed]
The following question came in my previous year exam. Any help will be appreciated.
Q. Let customers arrive at a departmental store according to a Poisson process with rate 10. Further, suppose that ...
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Ascertaining sub-probabilities using re-sampling of the data. Multivariate convergence?
I am trying to compute a payout for an online game that has the following information:
40% chance of a loss with value -2
10% chance of a loss with value -1
remaining 50% chance with four potential ...
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Can someone show me an example of what a probability distribution looks like and its notation? [closed]
What is a probability distribution of a random variable X and what is the typical notation for a probability distribution?
Can someone show me an example of what a probability distribution looks like ...
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How to show that many functions (a hundred, a thousand) have the same shape an distribution of values over an interval?
I have functions that on iterval [0,1] all seem to look like this:
i.e. they have a zero around 0.4 +ve derivative from zero to 0.4 and around zero or slightly negative derivative up to 1.
I plan to ...
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Are all random variables estimators? [duplicate]
My hand-wavey understanding is a random variable is a function from a domain of possible outcomes in a sample space to a measurable space valued in real numbers.
We might denote a random variable from ...
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Proof of Strong consistency of Beta posterior distribution
Suppose that we have random variable $X_{1}, X_{2}, ..., X_{n} \sim^{iid} \text{Bernoulli}(p_{0})$ with $p_{0}$ true unknown probability in $[0,1]$. Now, I want to implement Bayesian machinery to ...
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Probability of fixing error in application, given successful and unsuccessful runs before fix
An application communicating with a database started to fail with network errors. The errors occur only during some runs, and at random times when running the application. If a network error occurs, ...
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Equivalence of first/second choice with naive probability - I don't buy it
I'm seeking a better understanding of the following problem from Blitzstein and Huang (2015) (Chapter 1, Exercise 31, p. 35):
A jar contains $r$ red balls and $g$ green balls, where $r$ and $g$ are ...
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Is the variance of the mean of a set of possibly dependent random variables less than the average of their respective variances? [closed]
Is the variance of the mean of a set of possibly dependent random variables less than or equal to the average of their respective variances?
Mathematically, given random variables $X_1, X_2, ..., X_n$ ...
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Bayes' Theorem applied in real study [closed]
My name is Molly, and I am a medical student at Queens. I'm delving into the realm of statistics. It's essential to comprehend how statistical methods are utilized in medical screening and diagnostics....
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Equivalence of inverse transformations under distributional equivalence
Consider continuous, invertible transformations $g,h : \Bbb{R}^d \rightarrow \Bbb{R}^d$ and suppose $g(Y) \overset{d}{=} h(Y)$, where $Y$ is a $N(0, I)$ random variable. Then what can we infer about ...
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