Depending on whether the event b has or has not occurred, Basic Statistics

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Depending on whether the event b has or has not occurred

Consider 2 events A and B such that P[A] = ¼, P[B|A] = to P[A|B] = ½. Define random variables X and Y: X = I or 0, depending on whether the event A has or has not occurred, and Y = 1 or 0, depending on whether the event B has or has not occurred. Find E[X], E[Y], Var [X], Var [Yl, p(X, Y). Are X and Y independent?

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Basic Statistics: Depending on whether the event b has or has not occurred

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