Question
On a peer-to-peer (P2P) lending website, borrowers complete an approval scoring form that lenders use to assess creditworthiness. Lenders generally believe that borrowers who score
On a peer-to-peer (P2P) lending website, borrowers complete an approval scoring form that lenders use to assess creditworthiness. Lenders generally believe that borrowers who score at least 70 do not default on loans. Consequently, borrowers are rated A if their overall score is at least 70, otherwise they are rated B. A reasonably large sample of real borrower data was collected:
- among those that did not default on their loans, initial approval scores were normally distributed with a mean of 76.1 and a standard deviation of 8.2.
- among those that defaulted on their loans, initial approval scores were normally distributed with a mean of 65.2 and a standard deviation of 9.
Report each answer as a decimal (not percent) accurate to at least 4 decimal places. Answers from software or from rounded z-scores (to 2 decimal places) are accepted.
- What proportion of borrowers that:
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