following question to be solved in R Of a finance company’s loans, 1% are defaulted (not completely repaid). The company routinely runs credit checks on all loan applicants. It finds that 30% of defaulted loans went to poor risks, 40% to fair risks, and 30% to good risks. Of the nondefaulted loans, 10% went to poor risks, 40% to fair risks, and 50% to good risks. Use Bayes’ Formula to calculate the probability that a poor-risk loan will be defaulted.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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following question to be solved in R

Of a finance company’s loans, 1% are defaulted (not completely repaid). The company
routinely runs credit checks on all loan applicants. It finds that 30% of defaulted loans went to
poor risks, 40% to fair risks, and 30% to good risks. Of the nondefaulted loans, 10% went to poor
risks, 40% to fair risks, and 50% to good risks. Use Bayes’ Formula to calculate the probability
that a poor-risk loan will be defaulted.

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