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 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?
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