1. Suppose that 10 percent of the women who purchase overthecounter pregnancy testing kits are actually pregnant (Event B: PfB)=O.1{J). For a particular brand of kit, if a noman is pregnant: the test will yield a positive result 96 percent of the time [Event A given 3, P(.;'LB)={J.96} and a negative result 4 percent of the time (Event A" given B: Pt? B)=0_D4) (called a \"false negative\"). If she is not pregnant (Event 13": P{B'}=U.9}= the test will yield a positive result 5 percent of the time (Event A given B'__ P01 B')=0.5) (called a "false positive") and a negative result 95 percent of the timelevent A" given 13": HA' B'}=.95}. Suppose the test comes up positive. What is the probability that she is really pregnant P(B A) '9