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Please calculate the result by hand 11 (10points) X and Y are two iid random variables. Their density function f(r) doesn't equal zero and is

Please calculate the result by hand

11 (10points) X and Y are two iid random variables. Their density function f(r) doesn't equal zero and is twice differentiable. Prove if X + Y and X -Y are independent, then X and Y follow a normal distribution

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