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Parts A B and C A credit score measures a person\'s creditworthiness. Assume the

ID: 3022871 • Letter: P

Question

Parts A B and C
A credit score measures a person's creditworthiness. Assume the average credit score for American is 698. Assume the score are normally distributed with a slandered deviation of 54. Determine the interval of credit scores that are one standard deviation around the mean. Determine the interval of credit scores that are two standard deviation around the mean. Determine the interval of credit scores that are three standard deviation around the mean. The interval of credit scores that are one slandered deviation around the mean ranges from to

Explanation / Answer

a)

We simply subtract/add one standard deviation from the mean. Hence,

u - sigma = 698 - 54 = 644
u + sigma = 698 + 54 = 752

Hencem 644 to 752. [ANSWER]

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b)

We simply subtract/add two standard deviations from the mean. Hence,

u - 2*sigma = 698 - 2*54 = 590
u + 2*sigma = 698 + 2*54 = 806

Hencem 590 to 806. [ANSWER]

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c)

We simply subtract/add three standard deviations from the mean. Hence,

u - 3*sigma = 698 - 3*54 = 536
u + 3*sigma = 698 + 3*54 = 860

Hencem 536 to 860. [ANSWER]