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Consider writing onto a computer disk and then sending it
Chapter 4, Problem 82E(choose chapter or problem)
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 ? = .2. (Suggested in “Average Sample Number for Semi-Curtailed Sampling Using the Poisson Distribution,” J. Quality Technology, 1983: 126–129.) a.? hat is the probability that a disk has exactly one missing pulse? b.?? hat 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?
Questions & Answers
QUESTION:
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 ? = .2. (Suggested in “Average Sample Number for Semi-Curtailed Sampling Using the Poisson Distribution,” J. Quality Technology, 1983: 126–129.) a.? hat is the probability that a disk has exactly one missing pulse? b.?? hat 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?
ANSWER:Solution : Step 1 : Here X is the number of missing pulses when data from a computer disk sending through a certifier which counts missing pulses. It is also given that X~poisson distribution with mean or parameter = 0.2. We have to find probabilities for different values of X.