Use Bayes’ rule to solve the following problem. One third of the time, Milo takes the bus to work and the other times he takes the train. The bus is less reliable, so he gets to work on time only 50% of the time. If taking the train, he is on time 90% of the time. Give that he was on time on a particular day, what is the probability that Milo took the bus?

Use Bayes’ rule to solve the following problem. One third of the time, Milo takes the bus to work and the other times he takes the train. The bus is less reliable, so he gets to work on time only 50% of the time. If taking the train, he is on time 90% of the time. Give that he was on time on a particular day, what is the probability that Milo took the bus?

Use Bayes’ rule to solve the following problem. One third of the time, Milo takes the bus to work and the other times he takes the train. The bus is less reliable, so he gets to work on time only 50% of the time. If taking the train, he is on time 90% of the time. Give that he was on time on a particular day, what is the probability that Milo took the bus?