The following table gives the joint probability of X and Y, where X represents a person's poverty status (below or above the poverty line as defined by the U.S. government), and Y represents the person's race (white, blacks only, and all Hispanic).
POVERTY IN THE UNITED STATES, 2007

a. Compute f(X | Y = white); f(X | Y = black), f(X | Y = Hispanic), and f(X | Y = Asian), where X represents below the poverty line. What general conclusions can you draw from these computations?
b. Are race and poverty status independent variables? How do you know?

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Below poverty line Above poverty line White Black Hispanic Asian 0.0546 0.0315 0.0337 0.0046 0.6153 0.0969 0.1228 0.0406