Questions tagged [probability]
For questions about probability. independence, total probability and conditional probability. For questions about the theoretical footing of probability use [tag:probability-theory]. For questions about specific probability distributions, use [tag:probability-distributions].
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Non-constant parameters in Chernoff bound
Consider the Chernoff bound: It assumes $X_1, \ldots, X_n$ are independent Bernoulli random variables, each having probability $p > 1/2$, and seeks the probability of simultaneous occurrence of ...
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Asymptotic behavior of the first step in a best strategy
Consider the game described here, but for a sequence $X_1,\ldots,X_n$ of i.i.d. uniform rv's on $\lbrace 1,\ldots,n \rbrace$ (in the original game $n=6$). Using the original notation, let $a_n$ denote ...
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Probability increases as sample size increases?
I was talking with a friend and we were discussing a math problem disguised as a social situation:
If the chance that someone to accept your request to go out with them was 1% and you asked 1 person ...
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Normal distribution probability
just a quick question dealing with probability. The annual returns on stocks and treasury bonds over the next 12 months are uncertain. Suppose that these returns can be described by normal ...
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Uniform White Noise
I found a contradiction I couldn't resolve by my self.
It's about a "Uniform White Noise".
Let ${x}_{t}$ be a "White Noise" i.i.d. Random Process:
$ \forall t \in \mathbb{R}, \ {x}_{t} \sim U[-1, ...
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Probability of the sum of n numbers giving the same last d digits
Can anybody give me a hint how to approach the following problem, please?
I actually am having a hard time stating the problem. I think an example would help you understand what the problem is.
...
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How to calculate likelihood to succeed knowing attempts and successful attempts amounts?
Say I have two algorithms that I don't know how they work but I know what they are meant to achieve. I tried algorithm A once and it succeeded. And tried algorithm B 100 times and succeeded 99 times. ...
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Doubt in a probability problem
Problem:
Alex flip a fair coin three times. what is the probability that she gets two heads given that the first is a head?
My solution is based on the argument that from the given information the ...
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Reducing quantification to probability
I was thinking about some problem involving quantifiers (the existencial and universal quantifiers) and I noticed how it might resemble probability in a sense. They both assume a variable and its ...
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Negativity in a CIR model discretized by Ito-Taylor expansion
Let $X = (X_t: t \in [0,T])$ be a stochastic process satisfying a CIR model
$$
dX_t = \beta (X_t - \gamma) dt + \sigma\sqrt{X_t} dB_t,
$$
where $B_t$ is a standard Brownian motion, $\beta$ is a ...
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Doubts on a probability problem
Problem:
From the deck of the 52 cards,cards are drawn randomly without replacement.What is the probability of drawing a king of hearts at the third attempt? If it was drawn at the 15th attempt, what ...
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Find an unbiased estimate for λs (Poisson distribution)
So I have this problem to solve...
Let X denote the number of paint defects found in a square yard section of a car body painted by a robot.
These data are obtained:
8, 5, 0, 10, 0, 3, 1, 12, 2, 7, ...
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Complexity - why is RL=NL when omitting the demand for polynomial run-time?
The complexity class RL is described at the complexity zoo as: Has the same relation to L as RP does to P. The randomized machine must halt with probability 1 on any input. It must also run in ...
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A continuous analogue of the binomial distribution
For any positive integer $N$, the binomial$(N!,p)$ distribution has the following property: for any $1 \leq n \leq N$,
there exist i.i.d. random variables $X_1,\ldots,X_n$ such that $X_1 + \cdots + ...
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Statistical Inference Question
From Statistical Inference Second Edition (George Casella, Roger L. Berger)
"My telephone rings 12 times each week, the calls being randomly distributed among the 7 days. What is the probability that ...
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