Juan goes to college each day by any one of car or bus or walking. The probability that he goes by car is $$\(0.2\)$$, the probability that he goes by bus is $$\(0.45\)$$ and the probability that he walks is $$\(0.35\)$$. When Juan goes by car, the probability that he arrives early is $$\(0.6\)$$. When he goes by bus, the probability that he arrives early is $$\(0.1\)$$. When he walks he always arrives early. Draw a fully labelled tree diagram to represent this information. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Answer:

Fully correct labelled tree for method of transport with correct probabilities.
Fully correct labelled branches with correct probabilities for lateness with either 1 branch after W or 2 branches with the probability 0.

Knowledge points:

Solution: