Final answer:
The correct answer is d) Small bases: 6, Medium/Large bases: 15. The average number of schools that would offer such courses is 10.5. The probability that at most 10 schools offer such courses is approximately 0.762.
Step-by-step explanation:
The correct answer is d) Small bases: 6, Medium/Large bases: 15. This means that at small bases, 6 group exercise classes must be offered, while at medium/large bases, 15 group exercise classes must be offered. To find the average number of schools that would offer such courses, we can add the number of schools for small bases and medium/large bases and divide by 2. So the average would be (6 + 15) / 2 = 10.5. To find the probability that at most 10 schools offer such courses, we need to add the number of schools for small bases (6) to the number of schools for medium/large bases up to 10 (10). So the probability is (6 + 10) / (6 + 15) = 16 / 21 ≈ 0.762. It is more likely that 12 schools will offer such courses since the probability of at most 10 schools offering such courses is 0.762, which is higher than the probability of 13 schools offering such courses.