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Statistics for Economics Question on Probability theory

Let 𝑋 ∼ π‘ˆπ‘›π‘–π‘“π‘œπ‘Ÿπ‘š 8, 20) and 𝑍 ∼ π‘ˆπ‘›π‘–π‘“π‘œπ‘Ÿπ‘š(0, 6) be independent random variables. Let π‘Œ = 𝑋 + 𝑍 and π‘Š = 𝑋 βˆ’ 𝑍. Then πΆπ‘œπ‘£(π‘Œ, π‘Š) is ______ (in integer).

Answer

The correct answer is: 9