Annmarie is trying to decide whether to take the train or the bus into the city. The train takes longer but is more predictable than the bus because there are no traffic delays. Train times are...

Annmarie is trying to decide whether to take the train or the bus into the city. The train takes longer but is more predictable than the bus because there are no traffic delays. Train times are approximately normally distributed, with mean = 60 minutes and standard deviation = 2 minutes, while bus times are approximately normally distributed, with mean 5 50 minutes and standard deviation = 8 minutes. The bus and train times are independent of each other. Find the probability that the train is faster on any given day.