Answered: 7. Consider the following probability…

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7. Consider the following probability density function for a continuous random variable X: f(x) = if 1

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

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Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

7. Consider the following probability density function for a continuous random variable X:
f(x) =
(b) U(x) = x².
if 1 < x <e¹
0 otherwise
where e'is the exponential at 1
Compute the mathematical expectations of the following functions.
(a) U(x) = r.

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There is a bar on Off‐Main Street called the Rock‐n‐Roll Bar. All the people that go to that bar like to listen to rock‐n‐roll music, and they love live bands. If the bar owner brings bands in to play music on a Saturday night, she will make a lot of money. However there are tenants in this building who get annoyed by the loud music. The benefits/costs to the owner/tenants of having zero, one, two or three bands on a Saturday night are listed in the attached table. If the tenants have the right to be free of loud music enforced through a property rule, how many bands will play in Rock‐n‐Roll Bar on a Saturday night? A. Zero B. One C. Two D. Three E. It depends on transaction costs
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There is a bar on Off‐Main Street called the Rock‐n‐Roll Bar. All the people that go to that bar like to listen to rock‐n‐roll music, and they love live bands. If the bar owner brings bands in to play music on a Saturday night, she will make a lot of money. However there are tenants in this building who get annoyed by the loud music. The benefits/costs to the owner/tenants of having zero, one, two or three bands on a Saturday night are listed below. Assume the bar owner has the right to hire as many bands as she likes. Iftransaction costs were $90, split between the bar owner and the tenants, how manybands would play? What would social welfare be? A. Three bands would play and social welfare would be ‐100.B. Two bands would play and social welfare would be 75.C. Two bands would play and social welfare would be ‐15.D. No bands would play and social welfare would be 0.E. Three bands would play and social welfare would be ‐190