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Problems based on Normal Distribution

For borrowers with good credit score, the mean debt for revolving and instalment accounts is $15,015 (Business Week, March 20, 2006). Assume the standard deviation is $3540 and that debt amounts are normally distributed.

a. What is the chance that the debt for a randomly selected borrower with good credit is more than $18,000?

b. What is the possibility that the debt for a randomly selected borrower with good credit is less than $10,000?

c. What is the possibility that the debt for a randomly selected borrower with good credit is between $12,000 and $18,000?

d. What is the possibility that the debt for a randomly selected borrower with good credit is mo more than $14,000?

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