A laptop assembly is subjected to a final functional test. Suppose that defects occur at random...

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A laptop assembly is subjected to a final functional test.Suppose that defects occur at random in these assemblies, and thatdefects occur according to a Poisson distribution with parameter λ=0.03.

  1. What is the probability that an assembly will have exactly onedefect?
  2. What is the probability that an assembly will have one or moredefects?
  3. What is the probability that an assembly will have no more thanthree defects?
  4. What is the probability that an assembly will have more thantwo defects?
  5. Suppose that you improve the process so that the occurrencerate of defects is cut in half to λ = 0.015. What effect does thishave on the probability that an assembly will have one or moredefects?

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