Recent content by Krusty
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Undergrad Does probability depend on the amount of information one has?
What you're trying to do is estimate a population parameter (the probability that the mail room will be open on any abitrary day at 7:45) based on a sample of size one. The estimate of the population parameter is still unbiased, so your friend is right in saying his estimate is 100% since there...- Krusty
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- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad What is the expected time between bites in a jungle full of bees?
1) What is the probability that you will get bitten in a single second. 2) What distribution deals with the number of trials before a success? 3) Show some working if you want help- Krusty
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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High School What is the probability of a person born in leap year
What's the point of using a simple model when the full, exact model is no more complex?- Krusty
- Post #11
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Is Gender Linked to Brand Preferences According to Chi-Square Analysis?
This forum isn't for homework questions. If you're trying to get questions answered at least show your attempts at the questions. No-one is going to give you the answer straight up, but someone may give you some guidance if you show an attempt that is heading in the right direction- Krusty
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Histogram of Sinusoid: Is it the Same as PDF?
If the data you have collected is continuous, which i think is the case, then you can't let one bin represent one value, it has to be a range of values. The smaller the range of values, or the larger the number of bins you use, the closer you will get to approximating the true underlying pdf. Of...- Krusty
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- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Proof of Central Limit Theorem
It can be done in terms of Characteristic functions also. A brief proof is given on the wikipedia site for Central Limit Theorem. Uniqueness of a characteristic function holds because it is just the Fourier transform of the corresponding density function, up to a multiplicative constant- Krusty
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Will Michael Johnson's 19.32s Record Ever Be Broken?
http://greywww.uvt.nl:2080/greyfiles/center/2006/doc/83.pdf- Krusty
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- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Intuitive way to explain |Q| = aleph zero?
Look at http://home.att.net/~numericana/answer/sets.htm in the section called "The countability of rational numbers".- Krusty
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Will Michael Johnson's 19.32s Record Ever Be Broken?
Well the problem comes down to fitting an Exteme Value distribution to 200m track times. This will let you find the probability that a given time (ie. Johson's record) will be exceeded. There are many ways of fitting the model, but most use the fastest yearly times as the raw data. Probably...- Krusty
- Post #6
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Will Michael Johnson's 19.32s Record Ever Be Broken?
I am currently in the process of writing my Honours Thesis on Extreme Value Theory and was planning to include something very similar to your question as an example of possible applications. A few months before I will have that finished though...- Krusty
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad What Is the Probability of Guessing Correctly on a Mixed Multiple Choice Test?
Your method for this question seems right. All that I've found is that maybe the question was not written correctly. The answer given corresponds exactly for the situation where the student guesses exactly two questions from the first set (4 options) and at most 1 from the second set (5...- Krusty
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Will Michael Johnson's 19.32s Record Ever Be Broken?
The best way to look at this problem is using Extreme Value Theory. I know this has been applied to athletics records in the past, but I couldn't find any citations at first glance on prediction of future record. I know that Robinson & Tawn (1995) used Extremes to investigate whether a world...- Krusty
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics