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In: Statistics and Probability

In a body of scientific research on popular beverages, 70% of the individuals surveyed participated in...

In a body of scientific research on popular beverages, 70% of the individuals surveyed participated in studies that were sponsored by the food industry and 30% in studies that were conducted with no corporate ties.

In studies sponsored by the food industry, 11% of the participants found the products unfavorable, 29% found the products neutral (neither favorable nor unfavorable), and 60% found the products favorable. In studies that had no industry funding, 35% of the participants found the products unfavorable, 11% found them neutral, and 54% found them favorable.

If a randomly selected participant found the product favorable, what is the probability that the study was sponsored by the food industry?

If a randomly selected participant found the product unfavorable, what is the probability that the study had no corporate ties?
Enter your answers as whole numbers or fractions in lowest terms.

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