help with the last two questions, please

2. Among those that defaulted, what is the probability that a borrower: a) scored above 73.6? 0.2473 b) scored below 56.7 or above 85.9? 0.0986 c) was rated B and scored above 52.7? 0.6020 d) was rated A and scored below 73.6? 0.0237 e) was rated A given scored above 687 f) scored below 68 given rated B? Question Help: @ Video @ Message instructorOn 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 73 do not default on loans. Consequently, borrowers are rated A if their overall score is at least 73, otherwise they are rated B. A reasonably large sample of real borrower data was collected: i. among those that did not default on their loans, initial approval scores were normally distributed with a mean of 78.6 and a standard deviation of 6.9. ii. among those that defaulted on their loans, initial approval scores were normally distributed with a mean of 68 and a standard deviation of 8.2. 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. 1. What proportion of borrowers that: a) defaulted were initially rated A? 0.2710 b) did not default were initially rated B? 0.2085 () defaulted were miscategorized initially? 0.2710 d) did not default were miscategorized initially? 0.2085