Quality control, part 2. The cell phone manufacturer in Exercise 50 wants to model the time between events. The mean number of defective cell phones is 2 per day.
a) What model would you use to model the time between events?
b) What would the probability be that the time to the next failure is 1 day or less?
c) What is the mean time between failures?
Exercise 50
Quality control. In an effort to improve the quality of their cell phones, a manufacturing manager records the number of faulty phones in each day's production run. The manager notices that the number of faulty cell phones in a production run of cell phones is usually small and that the quality of one day's run seems to have no bearing on the next day.
a) What model might you use to model the number of faulty cell phones produced in one day?
b) If the mean number of faulty cell phones is 2 per day, what is the probability that no faulty cell phones will be produced tomorrow?
c) If the mean number of faulty cell phones is 2 per day, what is the probability that 3 or more faulty cell phones were produced in today's run?