Final answer:
The question cannot be fully answered without knowing the total number of people in the poll, which is necessary to calculate the probability of randomly selecting 2 out of 10 people in favor of the building project.
Step-by-step explanation:
The student's question involves calculating the probability of a specific event occurring in a random sample. To answer the student's question:
- We need to know the total number of people who are in favor of the building project.
- We then calculate the probability that exactly 2 out of 10 randomly chosen people are in favor of the building project using the binomial probability formula.
Unfortunately, the student's question does not provide the total number of people in the poll, which is necessary to calculate the probability. Therefore, we are unable to provide a solution to the problem as stated. If the student can provide the total number of people who were polled or clarify that the 60 people in favor constitute the entire sample or the entire population, we can then proceed to solve the problem.