Question: Let X~U(-a, a), where a is an arbitrary positive value. Calculate a. p(X, X2 ) b. p(X, X3 ) The correlation coefficient must be calculated


Let X~U(-a, a), where a is an arbitrary positive value. Calculate a. p(X, X2 ) b. p(X, X3 ) The correlation coefficient must be calculated based on analytical equations below: Cov (X, Y) = E[XY] - E[X]E[Y] Cov ( X , Y) P ( X , Y ) = - Var (X) Var (Y) where expectation of any function of random variable X is given by: Els (X)]= / 8(x)f (x)dx This problem should not be solved using sample data
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