Conditional mean and variance for joint PDF

Find the conditional mean and variance

  • What's the probability space?

  • All information are given in the file. I think we need to find the value of the constant first.

  • No, sorry, that doesn't make sense to me. f must be a function from a probability space to R. As presented, it's a function from RxR to R, but RxR is not a probability space. I guess one can restrict to the subspace defined by x>0, y>0, 1

  • Also k only influences the value of the function, not the domain, so that's not to be considered.

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