• kirbykirby
If $$X_i$$,$$Y_j$$ are random variables, and $$a_i$$, $$c_j$$, $$b$$, $$d$$ $$\in \mathbb{R}$$, $$i=1,2,...,n$$; $$j=1,2,...,m$$, then show that $Cov \left( \sum_{i=1}^{n}a_i X_i+b,\sum_{j=1}^{m}c_j Y_j+d \right) =\sum_{i=1}^{n}\sum_{j=1}^{m}a_i c_j Cov(X_i,Y_j)$ Is there a way to do this without induction? I started doing it that way, but the algebra is extremeeely messy.
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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