A study is conducted regarding the effect of guilt emotion on how a decision mak

Question

A study is conducted regarding the effect of guilt emotion on how a decision maker focuses on a problem. The results (number responding in each category) for the 1G2 study participants are reproduced in the table below. Suppose one of the 1G2 participants is selected at random. Given that the respondent is assigned to the guilty state, what is the probability that the respondent chooses to repair the car? If the respondent does not choose to repair the car. what is the probability that the respondent is in the anger state? Are the events {repair the car} and {guilty state} independent?

Explanation / Answer

Here' how the answer look with reasonsing steps:

a. P = guilty and repair/guilty = 40/55

b. P = do not chose to repair and is angry/do not choose to repair = 50/105

c. No. Since, P(A=repair)*P(B=guilty state) != P( A intersection B) = 57/162 * 55/162 != 15/162

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