Final answer:
The information given does not include data about the number of 11th graders, thus making it impossible to calculate the probability that both students selected are 11th graders.
Step-by-step explanation:
The student's question is asking for the probability that both students selected are 11th graders. However, based on the information provided, we do not have the necessary data to answer this specific question. The information does not mention anything about the number of 11th graders or how they are distributed within the sample spaces given, such as the 22 graduating students, the 300 students surveyed, the persons in Table A6, or the students who might score more than 65 or participate in a community volunteer program.
In order to calculate the probability that both students selected are 11th graders, we would need to know the total number of students and how many of them are in the 11th grade. Without this information, it's not possible to provide a correct answer to the question. In cases where we're given the number of 11th graders (let's say x) out of a total number of students (y), the probability can be calculated using the formula P(both are 11th graders) = (x/y) * ((x-1)/(y-1)) if selections are made without replacement.