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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 an action 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 99 by 250.

B. Divide 204 by 250.

C. Divide 99 by 479.

D. Divide 99 by 204.

Sagot :

GinnyAnswer
To determine the joint relative frequency of being female and attending an action movie, let’s follow the steps outlined below:

1. Identify the number of females who attended an action movie: From the table, there are 99 females who attended an action movie.

2. Identify the total number of people: From the table, the total number of people who attended the movies (both action and drama) is 479.

3. Calculate the joint relative frequency: The joint relative frequency is determined by dividing the number of females who attended the action movie (99) by the total number of people who attended the movies (479). This is because joint relative frequency is the ratio of a particular group to the overall total.

Performing the division:

[tex]\[ \text{Joint Relative Frequency} = \frac{99}{479} \][/tex]

This results in approximately 0.2067 or 20.67%.

Thus, the correct way to find the joint relative frequency of being female and attending an action movie is:

[tex]\[ \text{Divide } 99 \text{ by } 479. \][/tex]

So, the correct answer is:

C. Divide 99 by 479.
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