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In: Statistics and Probability

Question 6 . Let X and Y be independent random variables each having density function Determine...

Question 6 .

Let X and Y be independent random variables each having density function

  1. Determine E(Y ), E(X), E(Y 2 + X), E(X.Y ).
  2. Determine Variance σX2 and the standard deviation σY .
  3. If a new random variable Z is such that Z = 3X + 2Y + 2, determine E(Z).

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