(b) Josie has three ways of getting to school. 30% of the time she travels by car, 20% of the time she rides her bicycle and 50% of the time she walks. When travelling by car, Josie is late 5% of the time. When riding her bicycle, she is late 10% of the time. When walking, she is late 25% of the time. (a) Find the probability that Josie arrives at school on time. Given that Josie arrived at school on time, find the probability that she rode her bicycle. [3 pts.] [3 pts.]