According to data from the National Health and Nutrition Examination Survey, 33% of white, 49.6% of black, 43% of Hispanic, and 8.9% of Asian women are obese. In a representative town, 48% of women are white, 19% are black, 26% are Hispanic, and the remaining 7% are Asian.
a. Find the probability that a given woman in this town is obese.
b. Given that a woman is obese, what is the probability that she is white?
c. Given that a woman is obese, what is the probability that she is black?
d. Given that a woman is obese, what is the probability that she is Asian?