The effect of guilt emotion on how a decision maker focuses on a problem was investigated in a behavioral magazine. A total of 168 volunteer students participated in the experiment, where each was randomly assigned to one of three emotional states (guilt, anger, or neutral) through a reading/writing task. Immediately after the task, students were presented with a decision problem where the stated option had predominantly negative features (spending money on repairing a very old car). The results (number responding in each category) are summarized in the accompanying table. Suppose one of the 168 participants is selected at random. Complete parts a through c Click the icon to view the table of chosen options and emotional states. a. Given that the respondent is assigned to the guilty state, what is the probability that the respondent chooses the stated option? The probability is (Round to three decimal places as needed.) b. If the respondent does not choose to repair the car, what is the probability that the respondent is in the anger state? The probability is (Round to three decimal places as needed.) c. Are the events (repair the car) and (guilty state) independent? First find the probability that the respondent chooses the stated option (repair the car). The probability is (Round to three decimal places as needed.) Now determine whether the events (repair the car) and (guilty state) are independent. Since the probability that the respondent chooses to repair the car is state) independent. Enter your answer in each of the answer boxes. the value found in part a, the events (repair the car) and (guilty LU Table of Chosen Options and Emotional States Emotional Choose Stated Do Not Choose Stated Option State Guilt Anger Neutral Totals Option 47 8 9 64 Print 11 49 44 104 Done Totals 58 57 53 168