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?
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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The given tables shows the scores on the SAT Critical reading test for 2011 college-bound seniors.

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