(1 point) Scientific research on popular beverages consisted of 60 studies that
ID: 3062083 • Letter: #
Question
(1 point) Scientific research on popular beverages consisted of 60 studies that were fully sponsored by the food industry, and 40 studies that were conducted with no corporate ties. Of those that were fully sponsored by the food industry, 13 % of the participants found the products unfavorable, 21 % were neutral, and 66 % found the products favorable. Of those that had no industry funding, 36 % found the products unfavorable, 14 % were neutral, and 50 % found the products favorable. What is the probability that a participant selected at random found the products 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 industry funding?Explanation / Answer
Solution:
P(products favorable)
= P(sponsored by the food industry)*P(products favorable) +P(not sponsored by the food industry)*P(products favorable)
= 0.60*0.66+0.40*0.50 = 0.596
P(sponsored by the food industry | products favorable) = 0.60*0.66/0.596 = 0.6644
P(no industry funding |product unfavorable) = P( no industry funding and product unfavorable)/P(product unfavorable)
= 0.40*0.36/(0.60*0.13+0.40*0.36)
= 0.6486
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.