Please use R program Poisson distribution part 3 Give an example drawn from your daily life of a random variable drawn f

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Please use R program
Poisson distribution part 3
Give an example drawn from your daily life of a random variable
drawn from a Poisson distribution. You will recall examples from
the manual and lectures: but do not use these examples! Use these
examples to guide your understanding but I am looking for your own
original examples.
• State clearly in what way it is a limiting form of a binomial
distribution with large n and small p.
• Give rough estimates for n and p [an order-of-magnitude
estimate is fine]
• Give a reasonable value for λ (a rough value is fine)
• Using your value for λ, sample from your Poisson distribution
using rpois(10,lambda). Interpret the meaning of the 10 random
numbers. What does the first number mean? What does the second
number mean?
• Excellence question: discuss whether your distribution really
is a Poisson distribution. Are the statistical assumptions
justified? Discuss.