Recent content by johnG2011

  1. J

    Graduate No Probability Measure for Equal Probability of Countable, Infinite Set

    People take the liberty in using statements like "choose an integer at random," usually meaning consider the integers to be equally likely. Show that this statement is truly void of meaning by demonstating that there does not exist a problability measure that addigns equal problability to all...
  2. J

    Let X be a continuous random variable. What value of b minimizes E (|X-b|)? Giv

    The e is supposed to be an observation in the sample set
  3. J

    Graduate Forming a sigma field from a countable infinite set

    The professor did this problem in class but I need help with understanding it a little more. For any countably infinite set, the collection of its finite subsets and their complements form a field F. Prove that this conjecture.
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    Let X be a continuous random variable. What value of b minimizes E (|X-b|)? Giv

    Let X be a continuous random variable. What value of b minimizes E(|X-b|)? Giv Homework Statement Let X be a continuous random variable. What value of b minimizes E(|X-b|)? Give the derivation The Attempt at a Solution E(|X - b|) E[e - \bar{x}] = E(X) E(|E[e - \bar{x}] - b|)...
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    Minimize E[|X-b|] where b is a con't rand. var.

    Homework Statement Let X be a continuous random variable. What value of b minimizes E(|X-b|)? Give the derivation. Homework Equations The Attempt at a Solution