You are considering buying a car from a company which offers an insurance plan for a one-time cost today of $75. For this price, the company will cover any repair costs over $50 each year for the next 5 years. You estimate that the probability of the new car requiring a repair exceeding $50 is 0.01 during the first year, 0.025 during the second, 0.045 for the third, 0.07 for the fourth, and 0.10 for the fifth year. Assuming the occurrence of a repair in each year is statistically independent and your MARR is 10%, what annual amount of a repair (exceeding $50) each year for 5 years would make you indifferent to buying the insurance. In other words, at what annual repair amount would you break even on your insurance cost?

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...
icon
Related questions
Topic Video
Question
You are considering buying a car from a
company which offers an insurance plan
for a one-time cost today of $75. For this
price, the company will cover any repair
costs over $50 each year for the next 5
years. You estimate that the probability of
the new car requiring a repair exceeding
$50 is 0.01 during the first year, 0.025
during the second, 0.045 for the third,
0.07 for the fourth, and 0.10 for the fifth
year.
Assuming the occurrence of a repair in
each year is statistically independent and
your MARR is 10%, what annual amount
of a repair (exceeding $50) each year for
5 years would make you indifferent to
buying the insurance. In other words, at
what annual repair amount would you
break even on your insurance cost?
Transcribed Image Text:You are considering buying a car from a company which offers an insurance plan for a one-time cost today of $75. For this price, the company will cover any repair costs over $50 each year for the next 5 years. You estimate that the probability of the new car requiring a repair exceeding $50 is 0.01 during the first year, 0.025 during the second, 0.045 for the third, 0.07 for the fourth, and 0.10 for the fifth year. Assuming the occurrence of a repair in each year is statistically independent and your MARR is 10%, what annual amount of a repair (exceeding $50) each year for 5 years would make you indifferent to buying the insurance. In other words, at what annual repair amount would you break even on your insurance cost?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON