Companies X, Y and Z all manufacture a specific component
required to make a touch screen tablet. Of these three companies, X
shipped 1024 components, Y shipped 512 and Z shipped 256. The
percentage of defective components produces by each company is 4%,
5% and 14% for X, Y and Z, respectively. What is the probability
that a given defective component came from Company Y?
Please enter your answer as a decimal with 3 significant digits,
e.g., .250 or 0.250.