Bachelor's Master's Doctoral Total Female 616 194 16 826 Male 529 171 26 726 Total 1145 365 42 1552 Suppose one degree recipient from this group is selected randomly. Round answers to three places. what is the probability that the person selected earned a Master's degree? Let event D represent having a Doctoral degree. Find P (D°)- Using events B: Bachelor's degree, and event F: female, what is P(BN F)?

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The image provides a table that displays the counts (in thousands) of earned degrees in the United States for a certain year. These counts are categorized by degree level—Bachelor's, Master's, and Doctoral—and by recipient gender.

### Table:

|          | Bachelor's | Master's | Doctoral | Total |
|----------|------------|----------|----------|-------|
| Female   | 616        | 194      | 16       | 826   |
| Male     | 529        | 171      | 26       | 726   |
| Total    | 1145       | 365      | 42       | 1552  |

### Questions and Instructions:

1. **Probability of Earning a Master’s Degree:**
   - Find the probability that a randomly selected degree recipient has earned a Master's degree.

2. **Event D – Doctoral Degree:**
   - Let event D represent having a Doctoral degree. Determine \( P(D^c) \), which is the probability of not having a Doctoral degree.

3. **Events B (Bachelor's Degree) and F (Female):**
   - Calculate \( P(B \cap F) \), the probability that a degree recipient is both a Bachelor’s degree holder and female.

4. **Events D (Doctoral Degree) and F (Female):**
   - Calculate \( P(D \cup F) \), the probability that a degree recipient is either holding a Doctoral degree or is female.

The image features a table with figures associated with respective degree categories and genders, aiding in understanding degree distribution and aiding in probability calculations.
Transcribed Image Text:The image provides a table that displays the counts (in thousands) of earned degrees in the United States for a certain year. These counts are categorized by degree level—Bachelor's, Master's, and Doctoral—and by recipient gender. ### Table: | | Bachelor's | Master's | Doctoral | Total | |----------|------------|----------|----------|-------| | Female | 616 | 194 | 16 | 826 | | Male | 529 | 171 | 26 | 726 | | Total | 1145 | 365 | 42 | 1552 | ### Questions and Instructions: 1. **Probability of Earning a Master’s Degree:** - Find the probability that a randomly selected degree recipient has earned a Master's degree. 2. **Event D – Doctoral Degree:** - Let event D represent having a Doctoral degree. Determine \( P(D^c) \), which is the probability of not having a Doctoral degree. 3. **Events B (Bachelor's Degree) and F (Female):** - Calculate \( P(B \cap F) \), the probability that a degree recipient is both a Bachelor’s degree holder and female. 4. **Events D (Doctoral Degree) and F (Female):** - Calculate \( P(D \cup F) \), the probability that a degree recipient is either holding a Doctoral degree or is female. The image features a table with figures associated with respective degree categories and genders, aiding in understanding degree distribution and aiding in probability calculations.
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