Question: Continuous Random Variables Let X and Y be independent random variables, uniformly distributed on [0,1] . Let U = min{X,Y} and V = max{X,Y} .

Continuous Random Variables

LetX andY be independent random variables, uniformly distributed on[0,1].

Let U = min{X,Y} and V = max{X,Y}.

Let a = E[UV] and b = E[V].

  1. Finda.
  2. Findb.
  3. FindCov(U,V). You can give either a numerical answer or a symbolic expression involvingaandb. (There are many possible equivalent answers.)

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