At an art camp, students must specialize in one artistic medium. The camp director looked at her records to see which specialties students chose last summer.
sculpture 11
metalworking 4
drawing 13
ceramics 12
Considering this data, how many of the next 50 students to sign up for camp this summer should you expect to specialize in ceramics?
To determine how many of the next 50 students to sign up for camp this summer should be expected to specialize in ceramics, first we need to calculate the total number of students who chose a specialty last summer:
11 (sculpture) + 4 (metalworking) + 13 (drawing) + 12 (ceramics) = 40 students
Next, we need to find the probability of a student choosing ceramics as their specialty:
Probability of choosing ceramics = Number of students choosing ceramics / Total number of students who chose a specialty
Probability of choosing ceramics = 12 / 40 = 0.3
Finally, to determine the number of students expected to specialize in ceramics out of the next 50 students:
Expected number of students specializing in ceramics = Probability of choosing ceramics * Total number of students
Expected number of students specializing in ceramics = 0.3 * 50 = 15
Therefore, we can expect 15 of the next 50 students to specialize in ceramics.