It had been found from past experience that of the articles produced by a factory, 20% comes from Machine 1; 30% comes from Machine 2 and 50% from Machine 3. The percentages of satisfactory articles among those produced are 95 for machine 1, 85 for machine 2 and 90 for machine 3.
i) An article is chosen randomly from the lot. What is the probability that is satisfactory?
ii) Assume the article is satisfactory. What is the probability that it was produced by machine 1?