All Questions
Tagged with applications probability
82
questions
1
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1
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25
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Disagreeing methods for computing pregnancy probabilities
Something that I would have thought to be dead simple nearly drove me crazy!
Let's say we make a small study of women who have similar factors for becoming pregnant. Let's say the study runs for two ...
1
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0
answers
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 ...
2
votes
2
answers
279
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why does elo rating uses sigmoid?
I know how to calculate elo rating (in chess) and etc but why does it uses sigmoid? which makes chance of win/lose grow slower and slower if difference in elo is bigger (for example 0 difference gives ...
1
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2
answers
371
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Simple Traffic Flow Problem - Interaction Probability (Heavy/Light Vehicle)
Suppose you have a section of road with two-way traffic, and some basic information about traffic volumes, for example:
Let $l_a$ be the number of light vehicles per hour that travel across this road ...
2
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0
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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 ...
11
votes
1
answer
732
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What precisely is the Friendship Paradox (and is Wikipedia wrong?)
Friendship paradox is the somewhat well-known statement that "statistically speaking, your friends have more friends than you do".
To my mind, which is surely ignorant of any complexities of social ...
2
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2
answers
67
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Correctly labelling people in a lineup
I've been watching video's like this* where someone is asked to label a group of people. All people in a line have a label that is distinct from all the others in the line. The labeller receives $n$ ...
0
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0
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118
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Minimum Probability on a Finite Alphabet
Let $K$ be a finite (but very large) positive integer. Let $P=\{p_{k};k=1,\cdots,K\}$ be a probability distribution on an alphabet $\mathscr{X}=\{\ell_{k}; k=1,\cdots,K\}$. Let $p_{\wedge}=\min \{p_{k}...
1
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1
answer
172
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Why the length of the beak of birds of a certain specie follows a normal distribution. Also, IQ
A friend of mine is studying biology, and in a project of hers, she had to measure the beak (and other parts of the body) of some dozens of birds of a same specie, and analyze the data. In particular, ...
1
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0
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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 ...
2
votes
1
answer
203
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Is there a rule to have a better chance for winning battleship?
The game Battleship is played with a 10 by 10 field. There are ships in different sizes.
one 5 sizer
...
0
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0
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46
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How to test hypothesis where population size is unknown?
Assume that somebody claims that driving a car or being an airplane pilot is just like riding a bike and anybody can do it with just a little practice and therefore it is unnecessary to have a license....
0
votes
1
answer
50
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Sample size for estimating a probability
Assume I want to pass a test with 98 % probability, or 95 % probability or 90 % probability or even as low as with 75 % probability.
We say that I will take the test if the probability of success is ...
1
vote
1
answer
564
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Optimal decision making with probabilities
You are suing for company for 100000, which the company refuses to pay, but they are willing to settle for 35000. You give a counter-offer of 65000, which you think there is 40% change of the company ...
0
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0
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78
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How does the Elo rating system work in a situation like this?
The Elo rating system is commonly used to rank chess players, giving some insight into the probably of one player defeating another, but how would it react in a situation where there are three players ...