Question
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Decision Making (see Exercise p. total of 17 volunteer students participated 1.30, experiment, where in the each was randomly assigned to one of three emotional states or neutral) through a presented task. Immediately after the task, students were with a decision problem where the stated option had pre- dominantly negative features (e.g., spending money on re- very old results (number responding in each category) are summarized in the accompanying table. Suppose one of the 171 participants is selected at random Emotional Choose stated Do Not Choose Stated Option Totals State Option Guilt 57 Anger 50 Neutral Totals Source: Based on Gangemi A., & Mancini, F. "Guilt and focusing in decision- making," Journal of Behavioral Decision Making, Vol. 20, 2007 (Table 2). Jan. a. Find the probability that the respondent is assigned to the guilty state. b. Find the probability that the respondent chooses the stated option (repair the car). c. Find the probability that the respondent is assigned to the guilty state and chooses the stated option. d. Find the probability that the respondent is assigned to the guilty or chooses the option.
Explanation / Answer
A)
P(G) = 57/171 = 0.333333333 [ANSWER]
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b)
P(C) = 60/171 = 0.350877193 [ANSWER]
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c)
P(G n C) = 45/171 = 0.263157895 [ANSWER]
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d)
P(G U C) = (45+8+7+12)/171 = 0.421052632 [ANSWER]