3. Teachers at Hudson River University fall into the following categories of years of Experience. # Years of Experience 0 1-4 5-8 9-12 13 or more Relative Frequency 32 227 361 312 281 Cumulative Frequency Cumulative Relative Frequency D. Compute P(Teacher at Hudson River University has 0 years Experience | They have 4 or less of Experience) E. Compute P(Teacher at Hudson River University has 13 or years Experience | They have 5 or more years of Experience) F. Compute P(Teacher at Hudson River University has exactly 10 years experience)

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### Teacher Experience Distribution at Hudson River University

The educators at Hudson River University are categorized based on their years of experience. The table below provides the relative frequency, cumulative frequency, and cumulative relative frequency for each category of experience:

| # Years of Experience | Relative Frequency | Cumulative Frequency | Cumulative Relative Frequency |
|-----------------------|--------------------|----------------------|------------------------------|
| 0                     | 32                 |                      |                              |
| 1-4                   | 227                |                      |                              |
| 5-8                   | 361                |                      |                              |
| 9-12                  | 312                |                      |                              |
| 13 or more            | 281                |                      |                              |

### Probability Computations

- **D. Compute P(Teacher at Hudson River University has 0 years Experience | They have 4 or less of Experience)**

- **E. Compute P(Teacher at Hudson River University has 13 or years Experience | They have 5 or more years of Experience)**

- **F. Compute P(Teacher at Hudson River University has exactly 10 years experience)**

These calculations aim to assess specific probabilities based on the cumulative data provided.
Transcribed Image Text:### Teacher Experience Distribution at Hudson River University The educators at Hudson River University are categorized based on their years of experience. The table below provides the relative frequency, cumulative frequency, and cumulative relative frequency for each category of experience: | # Years of Experience | Relative Frequency | Cumulative Frequency | Cumulative Relative Frequency | |-----------------------|--------------------|----------------------|------------------------------| | 0 | 32 | | | | 1-4 | 227 | | | | 5-8 | 361 | | | | 9-12 | 312 | | | | 13 or more | 281 | | | ### Probability Computations - **D. Compute P(Teacher at Hudson River University has 0 years Experience | They have 4 or less of Experience)** - **E. Compute P(Teacher at Hudson River University has 13 or years Experience | They have 5 or more years of Experience)** - **F. Compute P(Teacher at Hudson River University has exactly 10 years experience)** These calculations aim to assess specific probabilities based on the cumulative data provided.
Expert Solution
Step 1

Given:

Years of experience and corresponding frequency for teachers.

We have to calculate mentioned probabilities 

Probability= favorable/total

P(A|B)= P(A∩B)/P(B)

 

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