suppose that a factory has two machines, machine A and machine B, both producing touch screens. Machine A produces 40% of the screens and machine B produces 60% of the touch screens. and it is found out that 10% of touch screens produced by machine A are defective and 5% of the touch screens produced by machine B are defective. If one randomly choose a touch screen produced by both machine, and finds out that it is defective, what is the probability that it is from machine A?. using a tree diagram.