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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 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 479.

B. Divide 124 by 275.

C. Divide 124 by 229.

D. Divide 229 by 275.

Sagot :

GinnyAnswer
To find the joint relative frequency of being male and attending a drama movie, you need to use the formula for joint relative frequency. This formula is given by:

[tex]\[ \text{Joint Relative Frequency} = \frac{\text{Number of occurrences of both events}}{\text{Total number of all events}} \][/tex]

In this problem:

- The number of males who attended a drama movie is 124.
- The total number of attendees (of both genders and both movie types) is 479.

Therefore, the joint relative frequency is calculated by dividing the number of males who attended a drama movie by the total number of attendees:

[tex]\[ \text{Joint Relative Frequency} = \frac{124}{479} \][/tex]

Thus, the correct answer is (A). Divide 124 by 479.

This calculation results in approximately [tex]\(0.2588726513569937\)[/tex].
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