Hello! I'm having trouble with this problem. I'm not too sure of how to even calculate the probability. I was able to solve some of it, but not all of it.

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 $20,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $20,000 and $25,000. (a) Suppose you bid $22,000. What is the probability that your bid will be accepted? x (b) Suppose you bid $23,000. What is the probability that your bid will be accepted? (c) What amount should you bid in dollars to maximize the probability that you get the property? $:l (d) Suppose you know someone who is willing to pay you $26,000 for the property. What is the expected profit in dollars it you bid the amount given in part (c)? $ :| Find a bid in dollars which produces a greater expected prot than bidding the amount given in part (c). (If an answer does not exist, enter DNE.) $:l