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 $9,700 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,700 and $14,700.
Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?