A business executive, transferred from Chicago to Atlanta, needs to sell her house inChicago quickly. The executive’s employer has offered to buy the house for $210,000, butthe offer expires at the end of the week. The executive does not currently have a better offerbut can afford to leave the house on the market for another month. From conversations withher realtor, the executive believes the price she will get by leaving the house on the marketfor another month is uniformly distributed between $200,000 and $225,000.a. If she leaves the house on the market for another month, what is the mathematicalexpression for the probability density function of the sales price?b. If she leaves it on the market for another month, what is the probability she will get atleast $215,000 for the house?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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A business executive, transferred from Chicago to Atlanta, needs to sell her house in
Chicago quickly. The executive’s employer has offered to buy the house for $210,000, but
the offer expires at the end of the week. The executive does not currently have a better offer
but can afford to leave the house on the market for another month. From conversations with
her realtor, the executive believes the price she will get by leaving the house on the market
for another month is uniformly distributed between $200,000 and $225,000.
a. If she leaves the house on the market for another month, what is the mathematical
expression for the probability density function of the sales price?
b. If she leaves it on the market for another month, what is the probability she will get at
least $215,000 for the house?

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