78 Guilt in decision making. Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of the effect of guilt emotion on how a decision maker focuses on the problem, Exercise 55 . The results (number responding in each category)

for the 171 study participants are reproduced in the accompanying table. Suppose one of the 171 participants is selected at random.

a. Given the respondent is assigned to the guilty state, what is the probability that the respondent chooses the stated option?

b. If the respondent does not choose to repair the car, what is the probability of the respondent being in the anger state?

c. Are the events {repair the car} and {guilty state}
independent?

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Emotional State Choose Stated Option Guilt 45 Anger 8 Neutral 7 Totals 60 Do Not Choose Stated Option Totals 284 12 57 50 58 49 56 111 171 Based on Gangemi, A., and Mancini, F. "Guilt and focusing in decision-making." Journal of Behavioral Decision Making, Vol. 20, Jan. 2007 (Table 2).