Refer to the Journal of Behavioral Decision Making (January 2007) study of the effect of guilt emotion on how a decision maker focuses on a problem, Exercise 3.48 (p. 159). The results (number responding in each category) for the 171 study participants are reproduced in the table below. Suppose one of the 171 participants is selected at random.

a. Given that 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 that the respondent is in the anger state?
c. Are the events {repair the car} and {guilty state} independent?

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Emotional Choose Do Not Choose Stated Option State Stated Option Guilt 45 12 50 49 Anger Neutral Totals 60 111