Final answer:
The expected number of students who participated in after-school sports all four years out of 60 seniors is approximately 5, based on an 8 percent participation rate. It would be surprising if none participated, as the expected number provides a baseline for what is statistically likely.
Step-by-step explanation:
The questions presented all fall under the subject of Mathematics, specifically related to statistics and probability, which are typically covered at the high school level. These questions involve calculating expected values, constructing histograms, interpreting survey data, and determining probabilities. To assist with the specific question about the number of seniors who participated in after-school sports all four years, we can use the given percentage to arrive at an expected value.
Given that 8 percent of students participate in after-school sports all four years, for a group of 60 randomly chosen seniors, the expected number is calculated as follows:
Expected number = Total number of students × Percentage participation
Expected number = 60 × 0.08 = 4.8
Since we cannot have a fraction of a student, we would expect approximately 5 students to have participated in after-school sports all four years.
When considering whether it would be surprising if none of the seniors participated, we have to look at the expected number. Since the expected number is approximately 5, it would indeed be surprising if none of the seniors participated, as we are expecting a few students based on the 8 percent participation rate.
Between four and five seniors, based on the expected number, it is more likely that five seniors participated considering the expected value is closer to 5 than to 4.