For this problem, use the fact that the expected value of an event is a probability weighted average, the sum of each probable outcome multiplied by the probability of the event occurring.

You are in the market for a used car. At a used car lot, you know that the blue book value for the cars you are looking at is between $15,000 and $18,000

If you believe the dealer knows as much about the car as you, how much are you willing to pay? Assume that you care only about the expected value of the car you buy and that the car values are symmetrically distributed.

You would pay $?