Question: Let the random variable be uniformly distributed in the interval [0,2] Suppose we have X=Cos() and Y=Sin() . Analyze the distribution to find whether the

Let the random variable be uniformly distributed in the interval [0,2] Suppose we have X=Cos() and Y=Sin() . Analyze the distribution to find whether the random variables X and Yare independent? Are they uncorrelated? Are they orthogonal?

Comment on the uncorrelatedness if the interval of distribution changes to [0,/2]

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