Problem 5 5. Probabilities using a tree diagram Aa Aa E A recent study in the Jo
ID: 3178933 • Letter: P
Question
Problem 5
5. Probabilities using a tree diagram Aa Aa E A recent study in the Journal of Consumer Research suggests that appetite stimuli can make people more impatient in unrelated areas. [Source: Li, X. (2008). The effects of appetitive stimuli on out-of-domain consumption impatience. Journal of Consumer Research, 34.] Participants in the study, all college students, were asked to serve as photo editors for a magazine. Half were randomly selected to view appetite-stimulating pictures of desserts, and the other half viewed non-appetite- stimulating nature pictures. Then the participants were offered a choice between going camping or studying over the weekend. Going camping is the impatient option, since it's associated with more immediate (less delayed) benefits than studying. A total of 30% of the students who viewed dessert photographs picked going camping, while 10% of the students who viewed nature photographs chose this option. Consider this statistical experiment: The study is re ru n on a randomly selected college student Let D the event the student views dessert pictures N the event the student views nature pictures, C the event the student picks going camping, and the event the student picks studying The following tree diagram depicts the process of the student being randomly assigned to view either dessert or nature pictures (Step 1) and his or her subsequent choice between going camping and studying (Step 2).Explanation / Answer
Probability #1 = Half of the participants = 0.5
Probability #2 = 1-0.3 = 0.7
(30 % chose camping, meaning 70% chose studying)
Probability #3 = 0.5x0.9 = 0.45
P(student going for camping) = P(student views dessert and going for camping) + P(students views nature and going for camping) = 0.5x0.3+0.5x0.1 = 0.2