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 $9,900 will be accepted. Assume that the competitor's bid is a random variable that is uniformly distributed between $9,900 and $14,900.

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

.42

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

.82

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

$ 14900

d. Suppose that you know someone is willing to pay you $16,000 for the property. You are considering bidding the amount shown in part (c) but a friend suggests you bid $12,950. Which bid will give you the

larger expected profit?

Bid $12950 to maximize the expected profit

What is the expected profit for this bid (to 2 decimals)?