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  1. Karlx

    An introductory book on the Distribution of Prime Numbers and Riemann's Zeta Function

    Hi everybody. I would like to find a book about the Distribution of Prime Numbers and the Riemann's Zeta Function. I know about the "classical" books: 1) Titchmarsh's "The Theory of the Riemann Zeta-Function" 2) Ingham's "The Distribution of Prime Numbers" 3) Ivic's "The Riemann...
  2. Karlx

    A good book for an introduction to Algebraic Topology

    Hi everybody. Next year I will start an undergraduate course on algebraic topology. Which book would you suggest as a good introduction to this matter ? My first options are the following: 1.- "A First Course in Algebraic Topology" by Czes Kosniowski 2.- "Algebraic Topology: An...
  3. Karlx

    Shooting competition. What is the best option?

    Hi everybody. I am fighting with the following problem: In a shooting competition, a team is composed by 2 shooters, who must shoot alternately. They have probabilities p1 and p2 to hit the target, being p1>p2. In order to be classified, a team must shoot 3 times and hit the target at...
  4. Karlx

    Placing n numbered balls in n numbered cells

    Hi everybody. I keep on reading Rohatgi's book "An introduction to Probability and Statistics". Just now I am working in the following problem: We have n cells numbered 1 to n and n balls numbered 1 to n. We place at random the n balls in the n cells, with no cell receiving more than one ball...
  5. Karlx

    Conditional probability. Unable to prove the general result.

    Hi everybody. I keep on reading Rohatgi's book "An introduction to Probability and Statistics" and I have worked out the following problem: "An urn contains r red marbles and g green marbles. A marble is drawn at random and its color noted. Then the marble drawn, together with c > 0 marbles of...
  6. Karlx

    It seems easy, but I don't get it

    Hi everybody. Once more, I need your help. The following is a problem that appears in Rohatgi's "An introduction to Probability and Statistics": "Each of n urns contains four white and six black balls, while another urn contains five white and five black balls. An urn is chosen at random...
  7. Karlx

    Probability problem that is driving me crazy.

    Hi everybody. I am reading the book "An introduction to Probability and Statistics", by V.K.Rohatgi and A.K. Ehsanes. I recommend it very much. I am trying to solve on of the problems but I have all tried, and I am not able to find the proper solution. The book gives the solution, but even...
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