(Note: IN ORDER TO GET FULL MARKS, SHOW ALL CALCULATION STEPS. FAILURE TO DO SO WILL RESULT IN A SCORE OF "O".) 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. Use the following information to answer part (d). The company is considering introducing a new model of Tablet which can result in a success (SC) or a failure (FL). Historically, 60% of Tablets introduced by the company have been successful. Before introducing the new tablet, the company's marketing research team conducts a study and issues a report that is either positive (PS) or negative (NG). Experience shows that 70% of Tablets introduced successfully have received a positive report and 20% of Tablets introduced unsuccessfully have received a positive report. (d)The marketing research team has issued a positive report. What is the probability that the introduction of the new Tablet will be successful? [You can use a tree diagram or any other statistical tool to answer this question]