Question

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?
Male
Female
Total
Action
105
99
204
A. Divide 99 by 204.
B. Divide 204 by 250.
C. Divide 99 by 250.
D. Divide 99 by 479.
Drama
124
151
275
Total
229
250
479

Answer 1

The joint relative frequency of being female and attending an action movie is calculated by dividing the number of females who attended the action movie (99) by the total number of movie attendees (479), which is option D.

Step-by-step explanation:

To find the joint relative frequency of being female and attending an action movie from the table provided, we focus on the intersection of the 'female' row and the 'action' column.

This joint relative frequency is calculated by taking the number of females who attended the action movie and dividing it by the total number of attendees for both movies. In this case, there are 99 females who attended the action movie and a total of 479 attendees for both movies. Therefore, the joint relative frequency is found by dividing 99 by 479, which is option D.

The formula for joint relative frequency in this context is:

• Joint Relative Frequency = (Frequency of interest) / (Total frequency of all groups)

In the example provided, the frequency of interest is the number of females attending the action movie, which is 99. The total frequency of all groups is the grand total of attendees, which is 479. Hence, you would use the following calculation:

Joint Relative Frequency of Female Attending Action Movie = 99 / 479