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. (a) Suppose you bid $12,000. What is the probability that your bid will be accepted? If required, round your answer to two decimal places. .40 (b) Suppose you bid $14,000. What is the probability that your bid will be accepted? If required, round your answer to two decimal places. .80 (c) What amount should you bid to maximize the probability that you get the property? 15000 (d) Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not? the bid that maximizes expected profit is $ Yes 0

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Only Part d

 

Only Part d

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.
(a) Suppose you bid $12,000. What is the probability that your bid will be accepted? If required, round your answer
to two decimal places.
.40
(b) Suppose you bid $14,000. What is the probability that your bid will be accepted? If required, round your answer
to two decimal places.
.80
(c) What amount should you bid to maximize the probability that you get the property?
15000
(d) Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less
than the amount in part (c)? Why or why not?
the bid that maximizes expected profit is $
Yes
O
0
Transcribed Image Text: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. (a) Suppose you bid $12,000. What is the probability that your bid will be accepted? If required, round your answer to two decimal places. .40 (b) Suppose you bid $14,000. What is the probability that your bid will be accepted? If required, round your answer to two decimal places. .80 (c) What amount should you bid to maximize the probability that you get the property? 15000 (d) Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not? the bid that maximizes expected profit is $ Yes O 0
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