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Answer :
- The problem asks for the joint relative frequency of females attending drama movies.
- Identify the number of females who attended drama movies: $151$.
- Identify the total number of attendees: $479$.
- Calculate the joint relative frequency: $\frac{{151}}{{479}}$. The answer is B.
### Explanation
1. Understanding the Problem
We are asked to find the joint relative frequency of being female and attending a drama movie. This means we need to find the fraction of all movie attendees who are both female and attended a drama.
2. Identify the Number of Females Attending Drama
From the table, we can see that there are 151 females who attended the drama movie.
3. Identify the Total Number of Attendees
The total number of attendees is 479.
4. Calculate the Joint Relative Frequency
To find the joint relative frequency, we divide the number of females who attended the drama movie by the total number of attendees. This gives us $\frac{151}{479}$.
5. Select the Correct Answer
Comparing this to the answer choices, we see that option B, Divide 151 by 479, is the correct answer.
### Examples
Joint relative frequency is useful in market research. For example, a movie studio might use it to understand the proportion of their audience that fits a certain demographic (like female) and prefers a specific genre (like drama). This helps them tailor their marketing efforts and decide what types of movies to produce in the future.
- Identify the number of females who attended drama movies: $151$.
- Identify the total number of attendees: $479$.
- Calculate the joint relative frequency: $\frac{{151}}{{479}}$. The answer is B.
### Explanation
1. Understanding the Problem
We are asked to find the joint relative frequency of being female and attending a drama movie. This means we need to find the fraction of all movie attendees who are both female and attended a drama.
2. Identify the Number of Females Attending Drama
From the table, we can see that there are 151 females who attended the drama movie.
3. Identify the Total Number of Attendees
The total number of attendees is 479.
4. Calculate the Joint Relative Frequency
To find the joint relative frequency, we divide the number of females who attended the drama movie by the total number of attendees. This gives us $\frac{151}{479}$.
5. Select the Correct Answer
Comparing this to the answer choices, we see that option B, Divide 151 by 479, is the correct answer.
### Examples
Joint relative frequency is useful in market research. For example, a movie studio might use it to understand the proportion of their audience that fits a certain demographic (like female) and prefers a specific genre (like drama). This helps them tailor their marketing efforts and decide what types of movies to produce in the future.
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