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Home/ Groups/ NYU Probability Summer 2009
John Muccini

How reliable is DNA in identifying suspects? - Los Angeles Times - 0 views

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    There are at least 3 conditional probabilities problems embedded in the article (it doesn't look like there are specific enough numbers to solve them precisely though).
renyong zhang

Boy or Girl paradox - Wikipedia, the free encyclopedia - 0 views

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    whats is the truth for the Question 2?
renyong zhang

GENETICS for PROBABILITY - 0 views

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    Genetics for Probability
Matthew Leingang

Illustrating Bertrand's Paradox with GeoGebra | Matthew Leingang - 0 views

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    I spiffed up and posted the GeoGebra worksheet if you're interested.
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    Bertrand's Paradox is a question in continuous probability that shows the perils of uniformly distributed variables. The question is simple: given a random chord in a circle, what's the probability that it's longer than the side length of an equilateral triangle inscribed in that circle?
Matthew Leingang

Bertrand's paradox (probability) - Wikipedia, the free encyclopedia - 0 views

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    What's the length of a random chord in a circle? It turns out that even if you try to distribute the chord uniformly there is an ambiguity.
Matthew Leingang

Standard Normal Table - 1 views

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    the data, pure and simple
renyong zhang

Gambler's ruin - Wikipedia, the free encyclopedia - 0 views

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    related to the problem:a gambler with finite wealth, playing a fair game (that is, each bet has expected value zero to both sides) will eventually go broke against an opponent with infinite wealth
Matthew Leingang

Some Really Hard Probability Problems - 0 views

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    I pulled this up from the MIT Open CourseWare page under their Problem Solving class. I think they use problems of this caliber to prepare for the Putnam exam.
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    I wonder if we as a class could take on this one... 3. An unfair coin (probability p of showing heads) is tossed n times. What is the probability that the number of heads will be even?
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    That's a great idea. First, try it for specific values of n. If n=1, then the number of heads is even if it's 0, so P(even) = 1-p. If n=2, you could have 0 or 2 heads, so P(even) = (1-p)^2 +p^2 = 1-2p. Obviously there's going to be some kind of binomial identity, but what?
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    OK, I now know two ways to solve this. The first way was along the lines you described in the break to me, Sam. It makes more sense than I originally thought, and with your Discrete Math knowhow you might be able to solve it. There's also a clever way, which I admit I didn't figure out until I solved it the other way.
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    That's a great list of problems btw!
Matthew Leingang

Lifelong debunker takes on arbiter of neutral choices - 0 views

  • A decade later, in 2002, a large manufacturer of card-shuffling machines for casinos summoned Diaconis to determine whether their new automated shufflers truly randomized the deck. (They didn't.)
    • Matthew Leingang
       
      I saw him talk about this. It was fascinating, especially when you consider that the problem is computationally very hard. The number of "shuffles" (permutations of a 52-card deck) exceeds the number of atoms in our galaxy, so it's impossible to build a computer with that much memory.
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    A biography about magician-turned-mathematician (probabilist) Persi Diaconis as well as a look at his experiments to understand the bias of a coin flip.
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    Great article. Everything I've been saying about Diaconis I learned through oral tradition. It's good to know I was pretty much right on.
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    Funny, after reading the article I concluded that you must've either read this article or a similar biographical sketch. Diaconis must be some legend! One of my favorite parts was that he was a bit 'rough' at one point. Gives the rest of us some hope!
Matthew Leingang

Bayesian spam filtering - Wikipedia, the free encyclopedia - 0 views

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    How Bayes's Theorem can be used to decide if mail is spam or not.
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    Very cool. Now that we see that mail filter software "adapts" to the user, we can address the problem in class of what would happen if a doctor who deals with prostate issues uses a filter and words such as viagra prop up when the email is not actually spam.
Marc Tourangeau

How Computers Use Probability to play Chess - 0 views

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    This is really cool. A brief exposure to how computers are able to play chess.
Truman Deeb

Intrinsic random event - Wikipedia, the free encyclopedia - 0 views

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    young einstein vs. old einstein why he changed his mind!
Diego Vele

YouTube - The Probability Of These Situations Occurring is 0.0000001% - 0 views

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    Some clips of events that are "probably" never gonna happen. Tells the probability of each event occurring.
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    Some clips of events that are probably never gonna happen. Tells the probability of each event occurring.
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    Funny!
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    Haha, I would think that the probability of all those would be even less than that!
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    Something tells me this is more of a photoshop and film editing problem than a probability problem. :)
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    very funny! and great marketing!
Truman Deeb

Gamma function - Wikipedia, the free encyclopedia - 0 views

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    In case you wanted to know a more precise way to deal with all of the factorials we've been playing around with.
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    If you like Erdos, you should take Algebra with Joel Spencer. He collaborated with Erdos for 40 or more publications I think.
Matthew Leingang

Stirling's approximation - Wikipedia, the free encyclopedia - 0 views

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    Far More Than You Ever Wanted To Know about where this formula comes from.
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    Stirling's approximation is for n! in terms of continuous functions.
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    The derivation didn't require any complex analysis after all; thank goodness.
bouchra alami

using the poisson distribution to approximate the binomial distribution - 0 views

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    using the poisson distribution to approximate the binomial distribution
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