Phil Dunphy, a real estate agent, is considering whether he should list an unusual $670,293 house for sale. If he lists it, he will need to spend $5,824 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $21,093. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 47%. What is the expected profit on this listing?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
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Phil Dunphy, a real estate agent, is considering whether he should list an
unusual $670,293 house for sale. If he lists it, he will need to spend $5,824
in advertising, staging, and fresh cookies. The current owner has given Phil 6
months to sell the house. If he sells it, he will receive a commission of
$21,093. If he is unable to sell the house, he will lose the listing and his
expenses. Phil estimates the probability of selling this house in 6 months to
be 47%. What is the expected profit on this listing?
Transcribed Image Text:Phil Dunphy, a real estate agent, is considering whether he should list an unusual $670,293 house for sale. If he lists it, he will need to spend $5,824 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $21,093. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 47%. What is the expected profit on this listing?
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