You are in the market for a used car and decide to visit a used car dealership. You know that the Blue Book value of the car you are looking at is between $20,000 and $24,000. If you believe the dealer knows as much about the car as you do, how much are you willing to pay? Why? Assume that you care only about the expected value of the car you will buy and that the car values are symmetrically distributed.

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Business

Lucia Hampton

22 August, 23:07

You are in the market for a used car and decide to visit a used car dealership. You know that the Blue Book value of the car you are looking at is between $20,000 and $24,000. If you believe the dealer knows as much about the car as you do, how much are you willing to pay? Why? Assume that you care only about the expected value of the car you will buy and that the car values are symmetrically distributed.

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Answers (1)

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Quinn Hicks · Answer 1

The expected value of the car you will buy is $22,000

Explanation:

In the given question, the car values are symmetrically distributed which means that we have to compute the mean between the values that are mentioned in the question.

So, the mean is an average of the numbers, the computation is shown below:

= (Value 1 + value 2) : (number of observations)

= ($20,000 + $24,000) : 2

= $22,000