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

A. Divide 151 by 479.

B. Divide 151 by 250.

C. Divide 151 by 275.

D. Divide 250 by 275.



Answer :

To find the joint relative frequency of being female and attending a drama movie using the given table, follow these steps:

1. Identify the Specific Count:
- We need the count of females who attended a drama movie. According to the table, there are 151 females who attended a drama movie.

2. Identify the Total Population:
- The total number of people surveyed or observed is found at the bottom-right cell of the table, which is 479.

3. Calculate the Joint Relative Frequency:
- The joint relative frequency is found by dividing the number of females attending a drama movie by the total number of people surveyed. Specifically, you divide 151 by 479.

So, the correct answer is A. Divide 151 by 479.

The detailed calculation leads to the joint relative frequency value:
[tex]\[ \text{Joint relative frequency} = \frac{151}{479} \approx 0.3152 \][/tex]

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

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