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Undergrad Can var(x+y) Be Less Than or Equal to 2(var(x) + var(y))?
Awesome! Thanks so much for your help!- kbilsback5
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- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Can var(x+y) Be Less Than or Equal to 2(var(x) + var(y))?
Hi, I was hoping that someone might be able to please help me with this proof. Prove that var(x+y) ≤ 2(var(x) + var(y)). So far I have: var(x+y) = var(x) + var(y) + 2cov(x,y) where the cov(x,y) = E(xy) - E(x)E(y), but I'm not really sure to go from there. Any insight would be very...- kbilsback5
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- Inequality Proof
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- Forum: Set Theory, Logic, Probability, Statistics