Machines A, B, C, D make washers, each machine makes 32%, 23%, 27%, 18% respectively. Of the washers made by Machines A, B, C & D, 1.6%, 3.2%, 1.9% and 2.5% (respectively) are faulty.

A component is selected at random, find the probability the component is faulty.

I used the probability the washer was manufactured on each machine with its respective probability of being faulty, the sum of which I got to be 0.02211.

Am I right?