We are interested in two events. First event is whether a baby is born via a Cesarean section (C for Cesarean and C c for not). The other event is whether the baby survived the delivery process (S for survive and S c for not survive). Given a C section is performed, the baby survives 96% of the time. Given a C section is not performed, the baby survives 98% of the time. In the U. S. there is a 15% chance of a birth involves Cesarean (C) section. a. What is the probability that a randomly chosen mother has a C section and her baby survives?b. What is the probability that a randomly chosen baby survives birth?c. Given a baby does survive birth, what is the probability the mother had a C section?