2 Garage sale You're clearing out your garage for a garage sale, and you want to get rid of as much stuff as possible quickly. You found a dresser and decided to sell it to the first person offering $220 or more. Assume offers to buy the dresser are independent exponential random variables with a mean of $150. The price is firm, and you keep taking offers until you receive one that is at least $220. a. What's the probability that any single offer is too low? b. What's the expected number of rejected offers until a sale? Leave your answer in terms of p, your response from part (a). c. Given you only accept offers above $220, how much money do you expect to get for your dresser? Leave your answer in terms of p, your response from part (a). There should be no random variables, integrals, or expectations in your final answer.
2 Garage sale You're clearing out your garage for a garage sale, and you want to get rid of as much stuff as possible quickly. You found a dresser and decided to sell it to the first person offering $220 or more. Assume offers to buy the dresser are independent exponential random variables with a mean of $150. The price is firm, and you keep taking offers until you receive one that is at least $220. a. What's the probability that any single offer is too low? b. What's the expected number of rejected offers until a sale? Leave your answer in terms of p, your response from part (a). c. Given you only accept offers above $220, how much money do you expect to get for your dresser? Leave your answer in terms of p, your response from part (a). There should be no random variables, integrals, or expectations in your final answer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:2 Garage sale
You're clearing out your garage for a garage sale, and you want to get rid of as much stuff as
possible quickly. You found a dresser and decided to sell it to the first person offering $220 or
more. Assume offers to buy the dresser are independent exponential random variables with a
mean of $150. The price is firm, and you keep taking offers until you receive one that is at least
$220.
a. What's the probability that any single offer is too low?
b. What's the expected number of rejected offers until a sale? Leave your answer in terms of p,
your response from part (a).
c. Given you only accept offers above $220, how much money do you expect to get for your
dresser? Leave your answer in terms of p, your response from part (a). There should be no
random variables, integrals, or expectations in your final answer.
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