6. Consider the following joint distribution of X and Y: X-Y 1 2 3 1 2...

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6. Consider the following joint distribution of X and Y: X-Y 1 2 3 1 2 3 0.1 0.2 0 0.2 0.1 0 0 0.1 0.3 • Find the marginal distributions of X and Y. Using these distributions, compute E[X], var(X), SD(X), E[Y], var (Y) and SD(Y). ● Compute COV(X, Y) and CORR(X, Y) • Are X and Y independent? Fully justify your answer. 6. Consider the following joint distribution of X and Y: X-Y 1 2 3 1 2 3 0.1 0.2 0 0.2 0.1 0 0 0.1 0.3 • Find the marginal distributions of X and Y. Using these distributions, compute E[X], var(X), SD(X), E[Y], var (Y) and SD(Y). ● Compute COV(X, Y) and CORR(X, Y) • Are X and Y independent? Fully justify your answer.

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To find the marginal distributions of X and Y we need to sum the probabilities along each row and column respectively in the joint distribution table ... View the full answer