Elizabeth takes 10 and 120 freeways to get to campus. Each and every freeway is either moving or congested. The 120 is congested 30% of the time. If 120 is congested, there is 80% chance that the 10 is also congested. If the 120 is moving, there is 20% chance that the 10 is congested.
Questions: Show work
a) Illustrate events that would be useful in analyzing this situation.
b) Write down mathematically the probabilities that are provided above.
c) Determine the probability that both freeways are congested?
d) It turns out that the 10 is congested. Compute the probability that the 120 is also congested?