The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected E Click the icon to view the table. random. Find the probability of each event listed in parts (a) through (c) below. (a) The student is male received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.) Table Degrees Outside of Field Degrees in Field Total 736,570 Males Females Total 153,997 113,531 582,573 878,479 992,010 267,528 1,461,052 1,728,580 Print Done

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**Educational Text: Analyzing Student Degree Data**

The following content presents a statistical analysis of the numbers of male and female students who received bachelor's degrees in a specific region during a recent year. This data is displayed in the table below, which categorizes the degrees based on whether they were received in the field of study or outside of it. By selecting a student at random, we aim to calculate the probability of specific events.

### Table Summary

|                  | Degrees in Field | Degrees Outside of Field | Total      |
|------------------|------------------|--------------------------|------------|
| Males            | 153,997          | 582,573                  | 736,570    |
| Females          | 113,531          | 878,479                  | 992,010    |
| **Total**        | 267,528          | 1,461,052                | 1,728,580  |

- **Degrees in Field**: This column represents the number of students who received degrees specifically in their chosen field of study.
- **Degrees Outside of Field**: This column represents the students who received degrees outside their initial field of study.
- **Total**: This column presents the cumulative numbers of students, divided by gender and overall totals.

**Part (a): Calculating Probability**

- **Event Description**: The event is defined as a student being male or having received a degree in the field.
- **Calculation Requirement**: Determine the probability of this event occurring when a student is selected at random.
- **Probability Instructions**: Enter the probability as either an integer or a rounded decimal to three decimal places.

This setup encourages the use of probability principles to analyze real-world data on educational achievements, aiding in a deeper understanding of gender distributions and field-specific qualifications.
Transcribed Image Text:**Educational Text: Analyzing Student Degree Data** The following content presents a statistical analysis of the numbers of male and female students who received bachelor's degrees in a specific region during a recent year. This data is displayed in the table below, which categorizes the degrees based on whether they were received in the field of study or outside of it. By selecting a student at random, we aim to calculate the probability of specific events. ### Table Summary | | Degrees in Field | Degrees Outside of Field | Total | |------------------|------------------|--------------------------|------------| | Males | 153,997 | 582,573 | 736,570 | | Females | 113,531 | 878,479 | 992,010 | | **Total** | 267,528 | 1,461,052 | 1,728,580 | - **Degrees in Field**: This column represents the number of students who received degrees specifically in their chosen field of study. - **Degrees Outside of Field**: This column represents the students who received degrees outside their initial field of study. - **Total**: This column presents the cumulative numbers of students, divided by gender and overall totals. **Part (a): Calculating Probability** - **Event Description**: The event is defined as a student being male or having received a degree in the field. - **Calculation Requirement**: Determine the probability of this event occurring when a student is selected at random. - **Probability Instructions**: Enter the probability as either an integer or a rounded decimal to three decimal places. This setup encourages the use of probability principles to analyze real-world data on educational achievements, aiding in a deeper understanding of gender distributions and field-specific qualifications.
**Determine whether the following problem involves a permutation or a combination and explain your answer.**

How many different 3-letter passwords can be formed from the letters L, M, N, O, P, Q, and R if no repetition of letters is allowed?

**Choose the correct answer below:**

- A. The problem involves a permutation because the order in which the letters are selected does matter.
- B. The problem involves a combination because the order in which the letters are selected does not matter.
- C. The problem involves a permutation because the order in which the letters are selected does not matter.
- D. The problem involves a combination because the order in which the letters are selected does matter.
Transcribed Image Text:**Determine whether the following problem involves a permutation or a combination and explain your answer.** How many different 3-letter passwords can be formed from the letters L, M, N, O, P, Q, and R if no repetition of letters is allowed? **Choose the correct answer below:** - A. The problem involves a permutation because the order in which the letters are selected does matter. - B. The problem involves a combination because the order in which the letters are selected does not matter. - C. The problem involves a permutation because the order in which the letters are selected does not matter. - D. The problem involves a combination because the order in which the letters are selected does matter.
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