In: Statistics and Probability
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.