Question: Let A and B be events, each with positive probability. a. State in words what it means for event B to be positively correlated with

Let A and B be events, each with positive probability.

a. State in words what it means for event B to be positively correlated with event A; negatively correlated with event A; independent of event A.

b. Show that event B is positively correlated with event A if and only if event A is positively correlated with event B.

c. Show that event B is negatively correlated with event A if and only if event A is negatively correlated with event B.

d. Show that event B is independent of event A if and only if event A is independent of event B.

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