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![4. Let X₁, X₂ be i.i.d. Exponential (A) random variables. Define
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Z = I(X₁ + X₂ > 7) =
Find E[Z|X₁] and E[Z] = E[E(Z|X₁)].
1, if X₁ +X₂ > 7,
0, if X₁ + X₂ ≤ 7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde84bd4f-1882-467c-8117-b0adca7ae606%2F37c98122-bc10-4757-adcf-90f787c4cf35%2Fa1664gr_processed.jpeg&w=3840&q=75)
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