College

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

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

A. Divide 151 by 250.

B. Divide 250 by 275.

C. Divide 151 by 275.

D. Divide 151 by 479.

Answer :

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

1. Identify the number of females attending the drama movie.
- From the table, the number of females who attended the drama movie is 151.

2. Identify the total number of people who attended both movies combined.
- From the table, the total number of attendees for both movies is 479.

3. Calculate the joint relative frequency.
- Joint relative frequency is found by dividing the number of females attending the drama movie by the total number of attendees.

So, you would calculate:

[tex]\[ \text{Joint Relative Frequency} = \frac{\text{Number of females attending the drama movie}}{\text{Total number of attendees}} = \frac{151}{479} \][/tex]

When you perform this division:

[tex]\[ \frac{151}{479} \approx 0.3152 \][/tex]

Therefore, the joint relative frequency of being female and attending a drama movie is about 0.3152.

From the given options:
A. Divide 151 by 250
B. Divide 250 by 275
C. Divide 151 by 275
D. Divide 151 by 479

The correct option is D. Divide 151 by 479.