The credit scores of 35-year-olds applying for a mortgage at Ulysses Mortgage Associates are normally distributed with a mean of 600 and a standard deviation of 125. (0) Find the credit score that defines the upper 20 percent. (Use Excel or Appendix C to calculate the z-value. Round your final answer to 2 declmal places.) Credit score (b) Eighty-five percent of the customers will have a credit score higher than what value? (Use Excel or Appendlx C for calculatlon of z- value. Round your final answer to 2 decimal places.) Credit score 470.45 (c) Within what range would the middle 90 percent of credit scores lie? (Use Excel or Appendlx C for calculation of z-value. Round your final answer to 2 declmal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Educational Exercise: Understanding Credit Scores Distribution

**Context:**
The credit scores of 35-year-olds applying for a mortgage at Ulysses Mortgage Associates follow a normal distribution with a mean of 600 and a standard deviation of 125.

---

#### Problem Statements

**(a) Determining the Upper 20 Percent:**
Calculate the credit score that defines the upper 20 percent of applicants.
- **Credit Score:** Use Excel or Appendix C to compute the z-value. Round your final answer to 2 decimal places.

- **Result:** `Credit score: 703.49`

---

**(b) Credit Score Threshold for 85 Percent:**
Determine the credit score below which 85 percent of customers would fall.
- **Credit Score:** Use Excel or Appendix C for the z-value calculation. Round your final answer to 2 decimal places.

- **Result:** `Credit score: 470.45`

---

**(c) Middle 90 Percent Range:**
Identify the range within which the middle 90 percent of credit scores lie.
- **Range:** Use Excel or Appendix C for z-value calculation. Round your final answer to 2 decimal places.

- **Result:** `Range: 396.39 to 805.61`

---

This exercise aims to provide a practical understanding of the normal distribution and how it applies to real-world data, such as credit scores. Use the calculated scores to assess financial thresholds for mortgage eligibility based on the statistical distribution.
Transcribed Image Text:### Educational Exercise: Understanding Credit Scores Distribution **Context:** The credit scores of 35-year-olds applying for a mortgage at Ulysses Mortgage Associates follow a normal distribution with a mean of 600 and a standard deviation of 125. --- #### Problem Statements **(a) Determining the Upper 20 Percent:** Calculate the credit score that defines the upper 20 percent of applicants. - **Credit Score:** Use Excel or Appendix C to compute the z-value. Round your final answer to 2 decimal places. - **Result:** `Credit score: 703.49` --- **(b) Credit Score Threshold for 85 Percent:** Determine the credit score below which 85 percent of customers would fall. - **Credit Score:** Use Excel or Appendix C for the z-value calculation. Round your final answer to 2 decimal places. - **Result:** `Credit score: 470.45` --- **(c) Middle 90 Percent Range:** Identify the range within which the middle 90 percent of credit scores lie. - **Range:** Use Excel or Appendix C for z-value calculation. Round your final answer to 2 decimal places. - **Result:** `Range: 396.39 to 805.61` --- This exercise aims to provide a practical understanding of the normal distribution and how it applies to real-world data, such as credit scores. Use the calculated scores to assess financial thresholds for mortgage eligibility based on the statistical distribution.
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