Probability for normally distributed debt amounts


Assignment:

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

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

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

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

d. What is the probability that the debt for a borrower with good credit is no more than $14,000?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Basic Statistics: Probability for normally distributed debt amounts
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