1. a customer will invest in Bond A with a probability of 0.70, will invest in Bond B with a probability of 0.35, and will invest in Bond A or Bond B with a probability of 0.85. Find the probability that a randomly selected customer will invest: 1. in only Bond A 2. in neither Bond A nor Bond B

2. The probability that a train departs on time is 0.86. The probability that a train arrives on time, given that it departed on time is 0.92. The probability that a train departed on time, given that it has arrived on time is 0.96

1. What is the probability that a randomly selected train arrives on time? 2. Are departing and arriving on time two independent events? Why?