Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?

MATLAB: An Introduction with Applications
6th Edition
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Chapter1: Starting With Matlab
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The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period,

  1. Find the expected value and standard deviation.
  2. What is the probability that 2 customers will arrive in a 5-minute period?
  3. What is the probability that no more than 2 customers will arrive in a 5-minute period?
  4. What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
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