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What is the cut-off score between a and b

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On a peer-to-peer (P2P) lending website, borrowers complete an approval scoring form that lenders use to assess creditworthiness. Borrowers are rated A, B, C or D, based on their scores, with A having the highest scores and D having the lowest.

In a large sample of borrowers, 20% were rated A, 25% were rated B, 29% were rated C, and the rest were rated D. Suppose the scores are normally distributed with a mean of 300 and a standard deviation of 38.

Round numeric answers to the nearest integer.

a) What is the cut-off score between A and B?

b) What is the cut-off score between B and C?

c) What is the cut-off score between C and D?

d) What score corresponds to the 15th percentile?

e) What score corresponds to the 70th percentile?

f) What is the minimum score above which lies 7% of the scores?

g) Between what scores will the middle 88% of scores lie?

Lower value = Higher value =

h) What rating will a score of 301 receive? Select an answer

D-rating
C-rating
B-rating
A-rating

i) What rating will a score of 269 receive?

Reference no: EM132997483

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