(a) Two factories, F and Fa, produce radios. Each radio produced at factory FË is defec tive witlh probability 0.05, whereas each one produced at factory F, defective with probability 0.01. Suppose you purchase two radios that were produced at the same factory, which is equally likely to have been either factory Fi or factory Fz. If the first radio that you check is defective, what is the conditional probability that the other one is also defective?