All Questions
Tagged with applications probability
23
questions with no upvoted or accepted answers
3
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0
answers
111
views
Primer for mathematical models of epidemics
In a comment to my recent MO question Robert Israel wrote: "Mathematical models of epidemics are well-established. Of course we'd like to know the parameters (and to what extent something can be done ...
- 1,133
2
votes
1
answer
98
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What is the probability that a marble from the urn has been picked up by exactly $n$ people?
An urn starts with $m$ marbles and is then approached by $p$ people, each of which picks up $k$ marbles, discarding one and returning the rest to the urn. The urn now has $m - p$ marbles remaining. ...
- 4,450
2
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45
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The law of large numbers
I'm currently writing a dissertation on the law of large numbers. The 4th chapter is on the real-life applications of the laws themselves. I have found applications for the laws in general but would ...
2
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46
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Probability someone never gets promoted?
I was doing some simulations on societal structures. For example, given a population, with a heirachy of N levels. e.g. one prime-minister, 10 cabinet members, 100 MPs, and so on. Let $P$ be the ...
- 4,425
2
votes
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45
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Probability to be overtaken on circuit
I'm running on a treadmill in the gym and use the software (provided) which basically enables me to see other people running around me in the virtual race arena (standard 400 m circuit).
I'm running ...
- 3,330
1
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145
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Is one SAT guessing strategy better than another?
The context is this paragraph from my SAT & ACT Prep book on page 11.
"There is one thing to keep in mind: Pick one letter for the SAT or a two-letter combo for the ACT and stick to it ...
- 2,685
1
vote
0
answers
31
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Empirical application for probability of $h$-deranged permutations
Background
For $n \in \mathbb{N}$ distinct items, there are a total of $n!$ permutations of them. A derangement is a permutation in which not a single item is in its 'natural position'. The number of ...
- 1,876
1
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28
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Probability of stripes being distinguishable given probability density functions for each luminance
I have an image with seven stripes on it (or three stripes on a dark background), and the goal is to estimate the probability of whether they are distinguishable from one another.
If the values of ...
- 3,212
1
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0
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35
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Auctions - Placing Points to get into Classes
At my university there are not enough places in every class to accommodate every student. The scheme the university set up to solve this problem is as follows: Each student gets $1000$ points per ...
- 21
1
vote
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answers
33
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Estimation of the law $Z_{1000}/\sqrt{1000}$ with an histogram (+ asymptotic positions)
We consider a sequence $A_n$ of subsets of $\mathbb{Z}$. At the step $n$, a particle is thrown at the origin and is moving until it goes out of $A_n$ by a point $X$. The particle is moving at the ...
- 1,031
1
vote
1
answer
111
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Probability distribution of the number of heterozygous sites
We'll consider a stretch of DNA on a chromosome and we'll be looking at specific sites that are at certain distances on from the others. The distance between any two sites is express in centiMorgan (...
- 1,615
0
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43
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Probability that random variables with multinomial distribution have a common divisor greater than 1
Consider an election in which $k$ candidates compete: Let $N_{i}$ denote the number of votes for candidate $i$ in the election.
How can we reasonably estimate the probability that the number of votes ...
- 8,424
0
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45
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Formula like Elo rating but for games where the outcome is numeric?
I'm working on a problem that involves ranking based on pairwise comparisons (it's for a scientific problem, not actually for games). My comparisons return a numerical score (in practice roughly ...
- 173
0
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32
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Probability analysis in passengers taking trains in a FCFS way under capacity constraint
Suppose there are two trains:
Train 1 and Train 2 have different departure times ($t_1$ and $t_2$) and capacities ($c_1$ and $c_2$).
There are two types of passengers, Type 1 with $d_1$ passengers ...
- 95
0
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176
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Lifetime with exponential and Poisson distribution
The lifetime of an electronic device is a rv with exponential distribution ($\mu=1/10$). In a normal week, the hours that the device is used is a rv with Poisson distribution ($\lambda=12$). Calculate ...
- 912