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 Showing results 1 to 25 of 217 Search took 0.01 seconds. Search: Posts Made By: irchans
 Forum: Probability 12-21-2005, 08:00 AM Replies: 21 Views: 92 Posted By irchans Re: Math Degrees and Careers Undergrad: Physics, EE, Math, Aerospace Engr, Nuclear Engineering, Astrophysics, Meteorology. Grad: Math, Physics, Control Systems, Elec Engr., Economics, Psychometrics, Operations Research,...
 Forum: Probability 11-08-2005, 05:45 PM Replies: 9 Views: 54 Posted By irchans Re: Software to calculate integrals If f[t] = (5*t)/16 - (15*Sin[2*t])/64 + (3*Sin[4*t])/64 - Sin[6*t]/192, then f '[t] = (Sin[t])^6, f[Pi/2] - f[0] = 5 * Pi / 32 ~= 0.490873852123405193509788028637
 Forum: Probability 10-23-2005, 02:46 PM Replies: 31 Views: 99 Posted By irchans Lowest Integer : Game Theory Did anyone ever figure out the game theoretic solution for N players?
 Forum: Probability 09-20-2005, 06:02 PM Replies: 5 Views: 58 Posted By irchans Re: Recurrence Relation to Closed Form Given F(N) = F(N-1)*(2N-1)*(2N)/2 and F(0)=1 what is F? First you might notice this recurrence relation has the form F(N) = F(N-1) * G(N). Any recurrence relation of this form has a...
 Forum: Probability 09-10-2005, 09:02 AM Replies: 4 Views: 55 Posted By irchans Re: How many hands do you see in one hr? What about online?
 Forum: Probability 09-10-2005, 09:00 AM Replies: 44 Views: 108 Posted By irchans Re: Anything that can happen will happen? If there are 10,000,000 spins a day for 1 billion years, then we can expect 49 reds in a row once. Thus I think we can safely say that 60 reds in a row will never occur on this planet (on a fair...
 Forum: Probability 08-28-2005, 02:41 PM Replies: 15 Views: 74 Posted By irchans Theory: 11.7447%, Excel Simulation: 10.4%, Mathematica Sim 11.3% I agree, there are 901 windows. That changes the theoretical answer to 11.7447%. For the Excel simulation, I agree that cell E1 should be =D1. In the other E cells I had max of cells D(i-1) and...
 Forum: Probability 08-27-2005, 10:00 PM Replies: 15 Views: 74 Posted By irchans Re: Exact answer 11.7327% ? (edited) I fixed some typos in the post below I think it's possible to use recurrence formulas like Bruce's formaulas to get the exact answer. Look at the 1000 hands as 900 overlapping windows of width...
 Forum: Probability 08-27-2005, 12:16 PM Replies: 15 Views: 74 Posted By irchans Exact answer 11.7327% ? I think it's possible to use recurrence formulas like Bruce's formaulas to get the exact answer. Look at the 1000 hands as 900 overlapping windows of width 100. The Probability p[n] that the...
 Forum: Probability 08-27-2005, 09:39 AM Replies: 15 Views: 74 Posted By irchans Simulation Results I wrote two quick simulations. Here are the results for the probability that at some time in a sequence of 1000 hands, there exists a 100 hand window with 14 or more pocket pairs. In the first...
 Forum: Probability 08-05-2005, 10:48 PM Replies: 15 Views: 68 Posted By irchans Re: Simulation Results [ QUOTE ] Now, if I want to expand this to see about 3 simultaneous failures, it should be pretty simple, right? When two machines fail simultaneously, the average length of overlap...
 Forum: Probability 08-05-2005, 09:22 PM Replies: 15 Views: 68 Posted By irchans Simulation Results pvn, I wrote a quick simulation for an additional comparison. I don't think my Mathematica code is really readable, but it beats writing a longer c++ program. Here is the code and the results:...
 Forum: Probability 08-05-2005, 04:36 PM Replies: 15 Views: 68 Posted By irchans Oops - correction pvn, You are correct! There was a typo in my previous post. Below is the corrected version substituting 3 hours for 6. The expected number of overlaps did not change when I made the...
 Forum: Probability 08-05-2005, 07:28 AM Replies: 15 Views: 68 Posted By irchans Re: reliability (no poker content) uuDevil, I think your method underestimates the number of overlaps because it implies that failures start exactly on a three hour boundary. Here is a second method for estimating the...
 Forum: Probability 08-03-2005, 07:03 PM Replies: 12 Views: 73 Posted By irchans Why is the answer 2000 + a/b? [ QUOTE ] [ QUOTE ] Followup: Suppose you add the numbers up until you get 1000. Roughly how many do you expect it to take? [/ QUOTE ] It's easy to see that the average is a bit more than...
 Forum: Probability 07-26-2005, 07:10 AM Replies: 37 Views: 101 Posted By irchans Re: Two New Variations Lovely solution. I didn't sit down to figure it out before reading your post. I should have!
 Forum: Probability 07-25-2005, 09:27 PM Replies: 37 Views: 101 Posted By irchans Two New Variations Variation 1 (fairly easy if you can do the orignial variation) The manager of a movie theatre announces that a free ticket will be given to the first person in line whose birthday and birth hour...
 Forum: Probability 07-25-2005, 09:16 PM Replies: 37 Views: 101 Posted By irchans Re: A birthday puzzle Very Nice Ken.
 Forum: Probability 07-25-2005, 09:11 PM Replies: 37 Views: 101 Posted By irchans LetYouDown, can you post your code? (NM) Maybe we can find the flaw.
 Forum: Probability 07-25-2005, 08:49 PM Replies: 15 Views: 64 Posted By irchans Re: Another theatre line problem Cute. My answer is below in white 2.93 on average
 Forum: Probability 07-16-2005, 11:20 AM Replies: 14 Views: 66 Posted By irchans Experiment I taped together a few pennies until the number of side results was approximately equal to the number of heads or tails. At about 11 pennies, #sides ~= #heads ~= #tails. A penny has a...
 Forum: Probability 07-16-2005, 10:02 AM Replies: 4 Views: 92 Posted By irchans Re: Probability of one OR more person getting dealt hands XX-YY vqchuang, The correct answer is somewhat complicated but here is an approximation: if X=number of hands that call me (it would be something out of 1225) Y=number of players still to...
 Forum: Probability 07-16-2005, 09:52 AM Replies: 7 Views: 55 Posted By irchans Comparison to flipping a coin 26 times I agree with emp1346's answer. I thought it might be interesting to compare this question to a similar coin toss probability question. The probability of getting n red cards when drawing 2 n...
 Forum: Probability 07-15-2005, 06:56 AM Replies: 14 Views: 66 Posted By irchans Re: Quick Rando Question : Fair Coin I would think that you would want the potential energy of lying on an edge to equal the potential energy of lying on a face. If those energies were equal then, thickness = diameter.
 Forum: Probability 06-15-2005, 08:01 AM Replies: 26 Views: 83 Posted By irchans Re: Running It Twice EV is still the same even if the cards are not shuffled. Let me think about it for a bit and try to come up with a proof.
 Showing results 1 to 25 of 217

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