Consider writing onto a computer disk and then sending it through a certifier th

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 ? = 0.6. (Round your answers to three decimal places.) (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? You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

P (X = k) = (e^-lambda * lambda^k )/ fact(k) a) P(X =1) = e^-0.6 * (0.6) = 0.329 b)P(X>=2) = 1 - P(X = 0) - P(X =1) = 1 - 0.549 - 0.329 = 0.122 c) P(X =0) * P(Y =0) = (0.549) * (0.549) = 0.301

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