Answer:
a) 33.33% probability that the respondent is assigned to the guilty state.
b) 35.09% probability that the respondent chooses the stated option (repair the car).
c) 26.32% probability that the respondent is assigned to the guilty state and chooses the stated option.
d) 40.94% probability that the respondent is assigned to the guilty state or chooses the stated option.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes. We use this concept, along with the given table, to solve the question.
a. Find the probability that the respondent is assigned to the guilty state.
There were 171 participants, and 57 of those were assigned the guilty state. So this probability is
b. Find the probability that the respondent chooses the stated option (repair the car).
There were 171 participants, and 60 of those choose the stated option. So this probability is
c. Find the probability that the respondent is assigned to the guilty state and chooses the stated option.
There were 171 participants, and 45 of those were assigned to the guilty state and choose the stated option. So this probability is
d. Find the probability that the respondent is assigned to the guilty state or chooses the stated option.
Guilty state: 57
Anger or Neutral and stated option: 8 + 7 = 15
Total = 57 + 15 = 72