4. Let X₁, X₂ be i.i.d. Exponential (A) random variables. Define Z = I(X₁ + X₂₁ > 7) = { Find E[Z|X₁] and E[Z] = E[E(Z|X₁)]. 1, if X₁ + X₂ > 7, 0, if X₁ + X₂ ≤ 7.

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