3.86 Guilt in decision making. Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of the ef- fect of guilt emotion on how a decision maker focuses on the problem, Exercise 3.59 (p. 142). 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. Choose Stated Option Emotional State Guilt 45 Anger 8 Neutral 7 Totals 60 Do Not Choose Stated Option Totals 1842 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). 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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3.86 Guilt in decision making. Refer to the Journal of
Behavioral Decision Making (Jan. 2007) study of the ef-
fect of guilt emotion on how a decision maker focuses on
the problem, Exercise 3.59 (p. 142). 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.
Choose
Stated Option
Emotional
State
Guilt
45
Anger
8
Neutral
7
Totals
60
Do Not Choose
Stated Option
Totals
1842
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).
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?
Transcribed Image Text:3.86 Guilt in decision making. Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of the ef- fect of guilt emotion on how a decision maker focuses on the problem, Exercise 3.59 (p. 142). 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. Choose Stated Option Emotional State Guilt 45 Anger 8 Neutral 7 Totals 60 Do Not Choose Stated Option Totals 1842 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). 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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