You are about to confront unexpected traffic and you are also responsible for driving an important client from the train station to the main office for a sales meeting. This is your second day at this job, and now an important client will have to wait for you (10 minutes or so) ...unless, you take the carpool lane. Of course, you are the only passenger in the car and the fine assessed by the court is $170. Assume that the probability of getting a ticket for such violation is 30%.

What is the expected value of the fine? and Would you take the carpool lane? Explain.