Mathematics Homework Help

1. In a fuse factory, machines A, B, and C
   manufacture 25%, 40%, and 35%, respectively, of the total fuses. Of the
   outputs for each machine, A produces 5% defectives, B
   produces 2% defectives, and C produces 3% defectives. A fuse is
   drawn at random.

   Given that a fuse is defective, what is the probability it came from
   machine A

a.0.7742, b. 0.3387, c. 0.4032, d, 0.2581, e. 0.3326