What is the joint probability that a mortgage has two or more late monthly payments and does not default on the mortgage?  b) What is the joint probability that a mortgage has one or less late monthly payments and does not default on the mortgage? c) Based on Bayes' Theorem, what is the posterior probability that a mortgage will not default given one or less payments over the life of the mortgage?

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
Question

A mortgage holding company has found that 2% of its mortgage holders default on their mortgage and lose the property. Furthermore, 90% of those who default are late on at least two monthly payments over the life of their mortgage as compared to 45% of those who do not default.


a) What is the joint probability that a mortgage has two or more late monthly payments and does not default on the mortgage? 


b) What is the joint probability that a mortgage has one or less late monthly payments and does not default on the mortgage?


c) Based on Bayes' Theorem, what is the posterior probability that a mortgage will not default given one or less payments over the life of the mortgage? 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar 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