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?
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...
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
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.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON