Here are two random variables that are uncorrelated but not independent. Let X and Y have the following joint probability mass function: Р(ху) х -1 1/3 1/3 1/3 Use the definition of independence on page 141 to show that X and Y are not independent (in fact Y = |X], so Y is actually a function of X). b. a. Show that X and Y are uncorrelated.

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