A sample of juniors and seniors were asked if they plan to attend college. Juniors Seniors Totals Plan to Do not Plan Attend to Attend 288 134 279 107 567 241 Totals 422 386 808

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### Survey on College Attendance Plans

#### Overview
A sample of juniors and seniors was asked if they plan to attend college. The results are summarized in the table below.

|                  | **Plan to Attend** | **Do not Plan to Attend** | **Totals** |
|------------------|---------------------|---------------------------|------------|
| **Juniors**      | 288                 | 134                       | 422        |
| **Seniors**      | 279                 | 107                       | 386        |
| **Totals**       | 567                 | 241                       | 808        |

#### Analysis
A student from the survey is selected at random. Consider the following statements and determine which of them are correct. All percentages are rounded.

**Statements:**

a) The probability the student is a junior is 52%.

b) The probability the student plans to attend college is 70%.

c) Given the student plans to attend college, the probability the student is a junior is 51%.

d) Given the student is a junior, the probability the student plans to attend college is 68%.

e) Events "is a junior" and "plans to attend" are independent.

f) Events "is a senior" and "plans to attend" are independent.

#### Notes:
- Total number of juniors: 422
- Total number of seniors: 386
- Total number of students: 808

The table provides a comprehensive breakdown of the number of juniors and seniors who either plan to attend college or do not plan to attend college. Analyzing each statement's validity involves computing respective probabilities based on the totals provided.
Transcribed Image Text:### Survey on College Attendance Plans #### Overview A sample of juniors and seniors was asked if they plan to attend college. The results are summarized in the table below. | | **Plan to Attend** | **Do not Plan to Attend** | **Totals** | |------------------|---------------------|---------------------------|------------| | **Juniors** | 288 | 134 | 422 | | **Seniors** | 279 | 107 | 386 | | **Totals** | 567 | 241 | 808 | #### Analysis A student from the survey is selected at random. Consider the following statements and determine which of them are correct. All percentages are rounded. **Statements:** a) The probability the student is a junior is 52%. b) The probability the student plans to attend college is 70%. c) Given the student plans to attend college, the probability the student is a junior is 51%. d) Given the student is a junior, the probability the student plans to attend college is 68%. e) Events "is a junior" and "plans to attend" are independent. f) Events "is a senior" and "plans to attend" are independent. #### Notes: - Total number of juniors: 422 - Total number of seniors: 386 - Total number of students: 808 The table provides a comprehensive breakdown of the number of juniors and seniors who either plan to attend college or do not plan to attend college. Analyzing each statement's validity involves computing respective probabilities based on the totals provided.
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