Now suppose Ben owns a $600,000 house and has an 8% chance of experiencing a fire in any given year. Assume as before that the fire will result in a total loss. Suppose the Lemonade Insurance Company offers Rainie and Ben the same insurance contract and charges them the same premium. In other words, they put Rainie and Ben into the same risk pool. તે. What is the probability distribution of total losses for Lemonade Insurance Company if they sell contracts to Rainie and Ben? b. What premium must Lemonade Insurance Company charge each of Rainie and Ben if they want to 'break even'? C. Will Rainie purchase this contract if she is charged the 'break-even' premium? Will Ben purchase this contact if he is charged the 'break-even' premium? Briefly explain your reason. d. What is the amount of risk Lemonade Insurance Company faces if they sell contracts to both Rainie and Ben?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 17P: The probability distribution for damage claims paid by the Newton Automobile Insurance Company on...
icon
Related questions
Question
Answer part d
3.
Now suppose Ben owns a $600,000 house and has an 8% chance of experiencing a fire in
any given year. Assume as before that the fire will result in a total loss. Suppose the
Lemonade Insurance Company offers Rainie and Ben the same insurance contract and
charges them the same premium. In other words, they put Rainie and Ben into the same
risk pool.
a.
What is the probability distribution of total losses for Lemonade Insurance
Company if they sell contracts to Rainie and Ben?
b.
What premium must Lemonade Insurance Company charge each of Rainie and
Ben if they want to 'break even'?
C.
Will Rainie purchase this contract if she is charged the 'break-even' premium? Will
Ben purchase this contact if he is charged the 'break-even' premium? Briefly
explain your reason.
d.
What is the amount of risk Lemonade Insurance Company faces if they sell
contracts to both Rainie and Ben?
Transcribed Image Text:3. Now suppose Ben owns a $600,000 house and has an 8% chance of experiencing a fire in any given year. Assume as before that the fire will result in a total loss. Suppose the Lemonade Insurance Company offers Rainie and Ben the same insurance contract and charges them the same premium. In other words, they put Rainie and Ben into the same risk pool. a. What is the probability distribution of total losses for Lemonade Insurance Company if they sell contracts to Rainie and Ben? b. What premium must Lemonade Insurance Company charge each of Rainie and Ben if they want to 'break even'? C. Will Rainie purchase this contract if she is charged the 'break-even' premium? Will Ben purchase this contact if he is charged the 'break-even' premium? Briefly explain your reason. d. What is the amount of risk Lemonade Insurance Company faces if they sell contracts to both Rainie and Ben?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials of Business Analytics (MindTap Course …
Essentials of Business Analytics (MindTap Course …
Statistics
ISBN:
9781305627734
Author:
Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:
Cengage Learning
Personal Finance
Personal Finance
Finance
ISBN:
9781337669214
Author:
GARMAN
Publisher:
Cengage