You are working for a bank and your supervisor asked you to predict the default risk for cach of the risk categories. The risk categories are coded A or B and are developed based on historical loan records. You construct the table below to summarize your assessment of the joint probabilities of customer risk categories (A or B) and the outcome (Pay back or default). Outcome Pay Back 0.52 0.36 Default Signal A 0.04 B 0.08 (3) What is the probability of risk category A given these joint probabilities? (Show your calculation) What is the probubility that a customer "default" given her risk is categorized in A? (Show your calculation) (3) What is the probubility that a customer "pay back" given her risk is categorized in B? (Show your calculation) (3)
You are working for a bank and your supervisor asked you to predict the default risk for cach of the risk categories. The risk categories are coded A or B and are developed based on historical loan records. You construct the table below to summarize your assessment of the joint probabilities of customer risk categories (A or B) and the outcome (Pay back or default). Outcome Pay Back 0.52 0.36 Default Signal A 0.04 B 0.08 (3) What is the probability of risk category A given these joint probabilities? (Show your calculation) What is the probubility that a customer "default" given her risk is categorized in A? (Show your calculation) (3) What is the probubility that a customer "pay back" given her risk is categorized in B? (Show your calculation) (3)
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...
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Transcribed Image Text:You are working for a bank and your supervisor asked you to predict the default risk for
cach of the risk categories. The risk categories are coded A or B and are developed based
on historical loan records. You construct the table below to summarize your assessment
of the joint probabilities of customer risk categories (A or B) and the outcome (Pay back
or default).
Outcome
Pay Back
0.52
Default
Signal
A
0.04
B
0.36
0.08
(3)
What is the probability of risk category A given these joint probabilities? (Show your
calculation)
What is the probubility that a customer "default" given her risk is categorized in A?
(Show your calculation)
(3)
What is the probubility that a customer "pay back" given her risk is categorized in B?
(Show your calculation)
(3)
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