A Bayesian Network that represents the relationship between accidents and weather conditions is shown below. Calculate the answers to these queries (hint: the joint distribution can be used to answer any query):

1. What is the probability that an accident will occur?
2. What is the probability that it is Cloudy and an Accident occurs?
3. What is the probability that it is Cloudy if it is known that an Accident occurred?
4. What is the probability that an accident will not occur if it is known that it is Cloudy and it is Freezing?