Joint Distributions

  1. 1. The problem statement, all variables and given/known data
    Let U,Y be independent random variables. Here U is uniformly distributed on (0,1) Where as
    Y~0.25[itex]\delta_{0}[/itex] + 0.75[itex]\delta_{1}[/itex]. Let X = UY. Find the Cdf and compute
    P(0≤X≤2/3)

    3. The attempt at a solution
    Normally a question like this is fairly straightforward but I'm having trouble understanding how Y is distributed.
     
    Last edited: Jun 9, 2012
  2. jcsd
  3. vela

    vela 12,775
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    I take that to mean Y is a discrete random variable that assumes the value 0 25% of the time and the value 1 the remaining 75% of the time.
     
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