a This table shows the distribution of scores on the SAT Critical Reading test for 2011 college-bound seniors. Score 700-800 600-690 500-590 400-490 300-390 200-290 Number of Students . 76,565 256,676 480,588 531,429 247,836 54,029 1,647,123 Proportion of Students 0.0465 0.1558 0.2918 0.1505 Total Source: 2011 College-Bound Seniors Total Group Report, College Board, professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf a. What are the missing numbers in the third column of this table? b. Suppose that you take a random sample of 1,000 scores from this population of SAT Critical Reading scores. What is the expected number of scores in the category 700-800? In the category 400-490?
a This table shows the distribution of scores on the SAT Critical Reading test for 2011 college-bound seniors. Score 700-800 600-690 500-590 400-490 300-390 200-290 Number of Students . 76,565 256,676 480,588 531,429 247,836 54,029 1,647,123 Proportion of Students 0.0465 0.1558 0.2918 0.1505 Total Source: 2011 College-Bound Seniors Total Group Report, College Board, professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf a. What are the missing numbers in the third column of this table? b. Suppose that you take a random sample of 1,000 scores from this population of SAT Critical Reading scores. What is the expected number of scores in the category 700-800? In the category 400-490?
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![This table illustrates the distribution of scores on the SAT Critical Reading test for 2011 college-bound seniors.
| Score | Number of Students | Proportion of Students |
|----------|--------------------|------------------------|
| 700–800 | 76,565 | 0.0465 |
| 600–690 | 256,676 | 0.1558 |
| 500–590 | 480,588 | 0.2918 |
| 400–490 | 531,429 | |
| 300–390 | 247,836 | 0.1505 |
| 200–290 | 54,029 | |
| **Total** | **1,647,123** | |
Source: *2011 College-Bound Seniors Total Group Report*, College Board, [link](professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf)
**Questions:**
a. What are the missing numbers in the third column of this table?
b. Suppose that you take a random sample of 1,000 scores from this population of SAT Critical Reading scores. What is the expected number of scores in the category 700–800? In the category 400–490?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F818e2187-d92f-4dcd-a2a4-628a60c1b962%2F8a047328-5ab9-45e7-a29e-c4b9d2f44d86%2Fpv99mvs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This table illustrates the distribution of scores on the SAT Critical Reading test for 2011 college-bound seniors.
| Score | Number of Students | Proportion of Students |
|----------|--------------------|------------------------|
| 700–800 | 76,565 | 0.0465 |
| 600–690 | 256,676 | 0.1558 |
| 500–590 | 480,588 | 0.2918 |
| 400–490 | 531,429 | |
| 300–390 | 247,836 | 0.1505 |
| 200–290 | 54,029 | |
| **Total** | **1,647,123** | |
Source: *2011 College-Bound Seniors Total Group Report*, College Board, [link](professionals.collegeboard.com/profdownload/cbs2011_total_group_report.pdf)
**Questions:**
a. What are the missing numbers in the third column of this table?
b. Suppose that you take a random sample of 1,000 scores from this population of SAT Critical Reading scores. What is the expected number of scores in the category 700–800? In the category 400–490?
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