The mileage on second-hand cars that have been put up for sale is skewed to the high end.

a) Explain why this is what you would expect.

b) Patrick is a second-hand car distributor, and he owns a showroom to display these cars. What would you expect the shape of the distribution of the mileage to be for the cars in Patrick’s showroom?

c) If each of the owners of second-hand car showrooms around the town compute the average mileage of the cars they have on display, what shape would you expect the distribution of these mileages to have?