Final answer:
The question is about calculating the expected number of students who participated in after-school sports all four years in a group of 60 based on a known percentage (8%). This is done by multiplying 60 by 0.08 to get the expected value, which is about 5 students.
Step-by-step explanation:
The student has asked a question related to probability and statistics, a branch of mathematics. They wish to know the number of students who participated in after-school sports all four years of high school among a randomly chosen group of 60 seniors, given that approximately 8 percent participate in after-school sports all four years.
To calculate this, we need to use the concept of expected value. The expected value is the average number, over many repetitions of the experiment, that one would expect to get. In this case, since 8 percent of students participate in after-school sports for all four years, we can calculate the expected number of students who did so in the randomly chosen group by multiplying the total number of students in the group (60) by the percentage (0.08).
- Convert the percentage of students participating in sports to a decimal: 8% becomes 0.08.
- Multiply this decimal by the total number of students in the group to find the expected number: 0.08 * 60.
- Come up with the expected number of students: 4.8, which we would typically round to 5 since you can't have a partial student.