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In a certain town, crimes occur at a Poisson rate of five per month. What is...

In a certain town, crimes occur at a Poisson rate of five per month.

  1. What is the mean and variance of crimes in this town?
  2. What is the probability of having exactly no crimes in two months?
  3. What is the probability of having at least 4 crimes in 3 months?
  4. What is the probability of having between 4 and 6 crimes (inclusive) in 3 months?
Math   Statistics-And-Probability   
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