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In: Statistics and Probability

Suppose that Phil and Jen each have a bag containing 10 distinguishable objects. The two bags...

Suppose that Phil and Jen each have a bag containing 10 distinguishable objects. The two bags have the same content. Phil and Jen randomly choose 3 objects each from their bags. Consider the following random variables: X − the number of objects chosen by both Phil and Jen Y − the number of objects not chosen by either Phil or Jen Z − the number of objects chosen by exactly one of Phil and Jen Compute E(X), E(Y ) and E(XZ).

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