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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question
The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period,
- 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?
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