Kwebwork/ma207_dill sect2-4condprob / 5 MAIN MENU Courses Homework Sets Sect2-4C

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Kwebwork/ma207_dill sect2-4condprob / 5 MAIN MENU Courses Homework Sets Sect2-4CondProb: Problem 5 Sect2 4CondProb Previous Problem List Next Proble 5 (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, 14 % of the participants found the products unfavorable, 25 % were neutral, and 61 % found the products favorable. Of those that had no industry funding, 40 % found the products unfavorable, 17 % were neutral, and 43 % found the products favorable What is the probability that a participant selected at random found the products favorable? User Settings Grades Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 0.538 If a randomly selected participant found the product favorable, what is the probability that the study was sponsored by the food industry? 0.339 If a randomly selected participant found the product unfavorable, what is the probability that the study had no industry funding? 0.620 Note: You can earn partial credit on this problenm Preview My Answers Submit Answers

Explanation / Answer

Solution:

-----------------Sponsored --- No ties
Favourable --- 0.60 -------- 0.43
neutral ----------0.25 ----- -- 0.17
unfavourable --0.14-- -- ---- 0.40

P(sponsored) = 0.5
P(no ties) = 0.5

1) (0.5)(0.60)+(0.5)(0.43) = 0.515

2) (0.5)(0.60) / [(0.5)(0.60)+ (0.5)(0.43)] = 0.5825

3) (0.5)(0.40) / [ (0.5)(0.40)+(0.5)(0.14)] = 0.7407

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