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Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter X = 0.2. (Suggested in Average Sample Number for Semi-Curtailed Sampling Using the Poisson Distribution, J. Qual. Tech., 1983: 126129.)

(a) What is the probability that a disk has exactly one missing pulse?

(b) What is the probability that a disk has at least two missing pulses?

(c) If two disks are independently selected, what is the probability that neither contains a missing pulse?

Fig: 1