Recent content by ctownballer03

  1. C

    Probability Conditional Expectation

    Solved it now. Thank you for the hint.
  2. C

    Probability Conditional Expectation

    Things have just got interesting. I may have to post again later tonight if I get stuck but you have put me on the right track. So the PMF of X=k|X+Y=n where X+Y are poisson RVs is going to be a binomial.
  3. C

    Probability Conditional Expectation

    Suppose X and Y are independent Poisson random variables with respective parameters λ and 2λ. Find E[Y − X|X + Y = 10]3: I had my Applied Probability Midterm today and this question was on it. The class is only 14 people and no one I talked to did it correctly. The prof sent out an e-mail saying...
  4. C

    Mathematical Game Theory (Von Neumann Morganstern Utility)

    1: If u: omega---> reals is a Von Neumann Morganstern Utiliy function and L is a lottery, prove that expectation E is "linear" ie: E(Au(L)+B)=AEu(L)+B2. Given none:The Attempt at a Solution : My attempt at a solution has gone nowhere. I found a stanford and princeton game theory notes that went...
  5. C

    Mathematical Game Theory (Drawing gametree for Tic-Tac-Toe

    Oh he knows lol.. He's the chair of the math department and specializes in Game Theory. He teaches the two class sequence once every two years and every person I've talked to who has taken it in the past said that he simply gives more work than any human can complete in a term. I've also heard...
  6. C

    Mathematical Game Theory (Drawing gametree for Tic-Tac-Toe

    I'm pretty sure I have to cover every position but I'm not 100%, I was wondering the same thing earlier today so I e-mailed my professor about it but I haven't heard back. No, I'm supposed to be making a game tree for a tic-tac-toe, ie every situation. The only hint he gives is to utilize...
  7. C

    Mathematical Game Theory (Drawing gametree for Tic-Tac-Toe

    Thanks! So my understanding is that due to symmetry the only three starting positions I'd have to show in the game tree is a corner, a side, and the middle, since rotating the game would result in every starting point being taken. So symmetrically speaking, I believe these three starting points...
  8. C

    Mathematical Game Theory (Drawing gametree for Tic-Tac-Toe

    Homework Statement Draw out the game tree for tic-tac-toe Homework EquationsThe Attempt at a Solution I'm just thinking about it and I don't know how to start. To draw out the entire gametree, we'd have thousands and thousands of branches. So based on symmetry there is only 3 starting points...