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Jun 09'24

Exercise

Let [math]X[/math] and [math]Y[/math] be independent random variables with uniform density functions on [math][0,1][/math]. Find

  • [math]E(|X - Y|)[/math].
  • [math]E(\max(X,Y))[/math].
  • [math]E(\min(X,Y))[/math].
  • [math]E(X^2 + Y^2)[/math].
  • [math]E((X + Y)^2)[/math].
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