It looks like you uploaded several images. The first image seems to relate to probability questions about joint and marginal relative frequencies, the second to a frequency table regarding a survey, and the third includes instructions and data breakdown related to the same survey.

To assist you better:

• Part A asks for the probability that a person surveyed lives in the city and used public transit.
• Part B asks whether the given probability is a joint or marginal relative frequency.

For Part A, based on the table in the images, the probability that a person surveyed lives in the city and took public transit can be calculated by dividing the number of people who live in the city and took public transit by the total number of people surveyed.

Here’s the step-by-step calculation for Part A:

• The number of people who live in the city and took public transit is 125.
• The total number of people surveyed is 500.

So, the probability is: $P(\text{Live in city and took public transit}) = \frac{125}{500} = 0.25$

For Part B, based on the data provided, this probability is a joint relative frequency, since it relates to two categories: living in the city and taking public transit.

Would you like to dive deeper into any part of this explanation or need further clarifications? Here are some related questions for further exploration:

1. How do you calculate a marginal relative frequency from a table?
2. What is the difference between a joint relative frequency and a conditional probability?
3. How can we use relative frequencies to approximate probabilities in large datasets?
4. Why is it important to differentiate between joint and marginal frequencies in statistics?
5. How would the probabilities change if the sample size was smaller or larger?

Tip: Always remember that marginal relative frequencies focus on a single category (row or column totals), while joint relative frequencies consider the combination of two categories (cell values).