Question: You have been using a control chart to monitor your production process. The probability of a false alarm is .004.

a. On average, how many samples will you take before getting an out of control signal?

b. What is the probability that there will be no false alarms in the next 20 samples taken?

c. What is the probability that in the next three samples, you get an in control signal, followed by another in control signal, followed by an out of control signal?

d. What is the probability that there will be at least one false alarm in the next 30 samples?

e. Given that the probability of a false alarm is .004, how many standard deviations away from the center line are the control limits?