Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

If required, round your answers to two decimal places.

a.Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

b.Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?

c.What amount should you bid to maximize the probability that you get the property?