Each week a large sample of image sensor devices is set aside for testing. Devices are randomly picked one by one and tested for shorts between clock signal lines (a fatal defect). Testing stops after the first defective device is detected. The random variable n is the number devices tested. When the fabrication process is functioning normally, n is described by the PMF: PPNN(nn) = AAee nn 100 ffffff nn = 1,2,3, ... 0 oohee eeeeeeee . (a) This is what type of random variable? (i.e., Pascal, Bernoulli, Binomial?) (b) What must the constant A be for this to be a valid PMF? (c) If nn 5, production is paused for a day to diagnose possible problems with the fabrication process. What is the probability of this occurring if the fabrication process is functioning normally? The use of test data to monitor and control the quality of a fabrication process is known as statistical process control