To predict how many visitors out of 1,275 students would like a comedy, we first need to determine the total number of visitors from the survey data and then calculate the proportion of visitors that like comedy.
From the table, the total number of visitors is:
- Comedy: 12
- Action: 5
- Drama: 3
- Horror: 0
- Mystery: 18
- Thriller: 7
- Romance: 5
Total visitors = 12 + 5 + 3 + 0 + 18 + 7 + 5 = 50
Next, we find the proportion of visitors who like comedy:
Proportion for Comedy = Number of Comedy Visitors / Total Visitors
Proportion for Comedy = 12 / 50
Now, we calculate the expected number of students who would like a comedy if we surveyed 1,275 students:
Expected Comedy Visitors = Proportion for Comedy × Total Students
Expected Comedy Visitors = (12 / 50) × 1,275
Calculating this:
Expected Comedy Visitors = 0.24 × 1,275 = 306
So, we predict that approximately 306 students would like a comedy.