Math Solutions

[Solution] Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with λ=8. (5 points) Calculate

Question: Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with λ=8. (5 points)

  1. Calculate the expected value of X. (1)
  2. Calculate the variance of X. (1)
  3. What is the probability that no tornadoes are observed? (1)
  4. What is the probability that greater than five tornadoes are observed? (2)

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