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# Poisson distribution for patients at Costa Valley Hospital

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Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution.

a. Using appendix C, compute the probability of exactly 0,1,2,3,4 and 5 arrivals per day.

b. What is the sum of these probabilities and why is the number less than 1?

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#### Solution Summary

The solution provides step by step method for the calculation of probability for Poisson variable. Formula for the calculation and Interpretations of the results are also included. This solution is provided in an attached Word document.

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## Poisson Distribution

Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution.
(a) Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day.
(b) What is the sum of these probabilities, and why is the number less than 1?
Determine the probability of more than 3 visits for emergency room service on a given day.

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