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Personal electronics, such as smart phones (defined as P) and tablets (defined as T), are getting more advanced all the time and consumers are demanding more functionality. Manufacturers of these personal devices experience problems in the production processes when the robots that assemble the components fail and need either a major adjustment (defined as M) or a small adjustment (defined as S). A major adjustment results in the shutdown of production for two days while a small adjustment causes a one-day shutdown. The Quality Production manager has noted the following: - probability the personal electronic device production process needs a major adjustment is 0.10 - probability that a smart phone is manufactured is 0.40 - probability the personal electronic device needs a major adjustment and a smart phone is manufactured is 0.05 (a)Suppose that the personal electronic device that is manufactured is a smart phone. What is the probability that the smart phone production process needs a major adjustment? (b)What is the probability that a randomly selected personal electronic device needs a major adjustment, or it is a tablet? (c)Are "Major Adjustment" and "Smart Phone" independent or dependent events? Show supporting probability calculations