The table shows how many males and females attended two different movies. How would you find the joint relative frequency of being male and attending a drama movie?

\begin{tabular}{|c|c|c|c|}
\hline
& Action & Drama & Total \\
\hline
Male & 105 & 124 & 229 \\
\hline
Female & 99 & 151 & 250 \\
\hline
Total & 204 & 275 & 479 \\
\hline
\end{tabular}

A. Divide 124 by 229.
B. Divide 229 by 275.
C. Divide 124 by 275.
D. Divide 124 by 479.



Answer :

To determine the joint relative frequency of being male and attending a drama movie, you need to follow these steps:

1. Identify the number of males who attended a drama movie.
2. Identify the total number of people who attended a drama movie.
3. Divide the number of males who attended a drama movie by the total number of people who attended a drama movie.

Let's break it down step-by-step using the provided table:

1. Number of males who attended a drama movie:
According to the table, there were 124 males who attended a drama movie.

2. Total number of people who attended a drama movie:
The total number of people who attended a drama movie, as shown in the table, is 275.

3. Calculating the joint relative frequency:
To find the joint relative frequency, we divide the number of males who attended a drama movie by the total number of people who attended a drama movie:

[tex]\[ \text{Joint Relative Frequency} = \frac{\text{Number of males who attended a drama movie}}{\text{Total number of people who attended a drama movie}} \][/tex]

Substituting the numbers from the table, we get:

[tex]\[ \text{Joint Relative Frequency} = \frac{124}{275} \][/tex]

Upon calculation, this results in:

[tex]\[ \frac{124}{275} \approx 0.4509 \][/tex]

Therefore, the correct choice that represents the joint relative frequency of being male and attending a drama movie is:

C. Divide 124 by 275.