To find the probability that the school is closed tomorrow given a 95% chance of heavy snow, we need to know how heavy snow affects school closings and what the probabilities are for school closings under that weather condition.
However, since you haven't provided specific details about the tree diagram or the probabilities associated with school closings in different weather conditions, I can't give an exact answer.
If we make some assumptions based on typical scenarios:
- Assume that if there is heavy snow, there is a certain probability \( P(C|H) \) that the school is closed.
- Assume you have \( P(H) = 0.95 \) for heavy snow.
Let's say you know that the probability that the school is closed given heavy snow is, for example, 80% (or 0.80):
You can find the overall probability that the school is closed by using the formula for conditional probabilities. This would be:
\[ P(C) = P(H) \cdot P(C|H) \]
Substituting the values:
\[ P(C) = 0.95 \cdot 0.80 = 0.76 \]
Thus, the probability that the school is closed tomorrow is 76%.
If you provide the specific closing probabilities associated with heavy snow or other weather conditions from the tree diagram, I can make a more accurate calculation.