Question: There are two random variables, X and Y. X equals 1 with probability 50% and X equals 2 with probability 50%. Y equals X with

There are two random variables, X and Y. X equals 1 with probability 50% and X equals 2 with probability 50%. Y equals X with probability 50% and equals -X with probability 50%.

a. Show that X and Y are not independent.

b. Show that Y is mean-independent of X.

c. Is X mean-independent of Y? Show it.

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