(23 pts.) The Global Smart Electronics is trying to develop a new mobile phone that will compete with leading brand. The

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23 Pts The Global Smart Electronics Is Trying To Develop A New Mobile Phone That Will Compete With Leading Brand The 1 (102.36 KiB) Viewed 32 times

(23 pts.) The Global Smart Electronics is trying to develop a new mobile phone that will compete with leading brand. The design process requires four independent phases. Each phase consists of set of procedures. If one of these phases fails, then the development of new mobile phone will not be a success. The probability that each phase will be successful is given as follows: с D Phases Probability A 0.80 B 0.90 0.75 0.70 If the development of this new mobile phone becomes a success, there is 80% chance that the same four phases will also be used to develop a new tablet. However, if the development of the new mobile phone fails, then there is only a 30% chance that these phases will be used to develop the new tablet. a) (3 pts.) What is the probability that the development of the new mobile phone will fail? b) (3 pts. Find the probability that the Global Smart Electronics will use the same phases to develop a new tablet? c) (3 pts.) How many trials must be made on the development of a new phone so that the probability of a success at least once is at least 99%? d) (3 pts.) If the development of new mobile phone failed, what is the probability the reason for failure is either Phase B or Phase C? e) (4 pts.) To increase the chances of success, the management decided to provide backup set of procedures in each phase. The backup set of procedures will be used in case the original set of procedures fail. What is the probability that the development of a new phone will be a success? Assume that the probabilities of success of the backup sets of procedures are the same probabilities of success of the original set of procedures. f) (3 pts.) In reference to (e), how many backup sets of procedures should Phase D must have to decrease probability of failure on the development of new mobile phone by 5%. g) (4 pts.) If the probability of successful development of the new tablet using the same processes in developing the new mobile phone is 85%, what is the probability that the development of the new tablet will be a failure given a successful development of the new mobile phone?