New Zealand Travel... G Google S Add to MyRegistry Mail - sgorham@a. Part 4 of 6 (d) Find the probability that between 70% and 75% of the people in the sample were in debt. The probability that between 70% and 75% of the people in the sample were in debt is Part 5 of 6 (e) Find the. probability that more than 71% of the people in the sample were in debt. The probability that more than 71% of the people in the sample were in debt is Part 6 of 6 (f) Would it be unusual if less than 67% of people in the sample were in debt? It (Choose one) V be unusual if less than 67% of the people in the sample were in debt, since the probability is Eouo For I ator Submit Assign

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Parts 4-6 please
The educational content from the image is structured into three parts, focusing on probability calculations related to a sample of people in debt. Below is the transcription:

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**Part 4 of 6**

(d) Find the probability that between 70% and 75% of the people in the sample were in debt.  
The probability that between 70% and 75% of the people in the sample were in debt is [ ].

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**Part 5 of 6**

(e) Find the probability that more than 71% of the people in the sample were in debt.  
The probability that more than 71% of the people in the sample were in debt is [ ].

---

**Part 6 of 6**

(f) Would it be unusual if less than 67% of people in the sample were in debt?  
It (Choose one ▼) be unusual if less than 67% of the people in the sample were in debt, since the probability is [ ].

---

There are no graphs or diagrams in the image. The tasks require textual input in the marked placeholders after calculation of the probabilities.
Transcribed Image Text:The educational content from the image is structured into three parts, focusing on probability calculations related to a sample of people in debt. Below is the transcription: --- **Part 4 of 6** (d) Find the probability that between 70% and 75% of the people in the sample were in debt. The probability that between 70% and 75% of the people in the sample were in debt is [ ]. --- **Part 5 of 6** (e) Find the probability that more than 71% of the people in the sample were in debt. The probability that more than 71% of the people in the sample were in debt is [ ]. --- **Part 6 of 6** (f) Would it be unusual if less than 67% of people in the sample were in debt? It (Choose one ▼) be unusual if less than 67% of the people in the sample were in debt, since the probability is [ ]. --- There are no graphs or diagrams in the image. The tasks require textual input in the marked placeholders after calculation of the probabilities.
**Student Loans Analysis**

According to the Institute for College Access and Success, 66% of college students graduated with student loan debt in a recent year. A random sample of 90 graduates is analyzed using statistical methods including a Cumulative Normal Distribution Table. The solutions should be rounded to at least four decimal places if necessary.

**Part 1 of 6**

(a) **Find the mean \( \mu_{\hat{p}} \):**

The mean \( \mu_{\hat{p}} \) is \( 0.66 \).

**Part 2 of 6**

(b) **Find the standard deviation \( \sigma_{\hat{p}} \):**

The standard deviation \( \sigma_{\hat{p}} \) is \( 0.0499 \).

**Part 3 of 6**

(c) **Find the probability that less than 53% of the people in the sample were in debt:**

The probability that less than 53% of the people in the sample were in debt is \( 0.0045 \).

**Note:** Utilize the Cumulative Normal Distribution Table as needed for calculations.

**Actions:**
- Make sure to click "Check Answer" to verify your solution.
- Options to "Save For Later" or "Submit Assignment" are available.
Transcribed Image Text:**Student Loans Analysis** According to the Institute for College Access and Success, 66% of college students graduated with student loan debt in a recent year. A random sample of 90 graduates is analyzed using statistical methods including a Cumulative Normal Distribution Table. The solutions should be rounded to at least four decimal places if necessary. **Part 1 of 6** (a) **Find the mean \( \mu_{\hat{p}} \):** The mean \( \mu_{\hat{p}} \) is \( 0.66 \). **Part 2 of 6** (b) **Find the standard deviation \( \sigma_{\hat{p}} \):** The standard deviation \( \sigma_{\hat{p}} \) is \( 0.0499 \). **Part 3 of 6** (c) **Find the probability that less than 53% of the people in the sample were in debt:** The probability that less than 53% of the people in the sample were in debt is \( 0.0045 \). **Note:** Utilize the Cumulative Normal Distribution Table as needed for calculations. **Actions:** - Make sure to click "Check Answer" to verify your solution. - Options to "Save For Later" or "Submit Assignment" are available.
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