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 $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $15,200. 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? %24

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**Bidding on a Piece of Land: Probability and Decision Making**

Suppose you are interested in bidding on a piece of land and know one other bidder is interested. The seller has announced that the highest bid in excess of $10,200 will be accepted. Assume the competitor's bid, \( x \), is a random variable that is uniformly distributed between $10,200 and $15,200.

**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?

**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 $13,100. Which bid will give you the larger expected profit?

- Select your answer: 

What is the expected profit for this bid (to 2 decimals)?
Transcribed Image Text:**Bidding on a Piece of Land: Probability and Decision Making** Suppose you are interested in bidding on a piece of land and know one other bidder is interested. The seller has announced that the highest bid in excess of $10,200 will be accepted. Assume the competitor's bid, \( x \), is a random variable that is uniformly distributed between $10,200 and $15,200. **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? **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 $13,100. Which bid will give you the larger expected profit? - Select your answer: What is the expected profit for this bid (to 2 decimals)?
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