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The New Community of Lemon Heights Is Planning to Set

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The new community of Lemon Heights is planning to set up a paramedic station.It is estimated that calls will come into this station according to a Poisson distribution, and the station receives an average of twenty calls a day.The time an ambulance is out responding to a call follows an exponential distribution with a mean time of one hour and thirty minutes.If no ambulance is available, an ambulance from a nearby town will be dispatched, but this will significantly increase the response time.Due to the potentially tragic consequences associated with not having an ambulance readily available when a call comes in, the city council has mandated that the probability of this happening should be no more than .005.Determine how many ambulances the paramedic station should purchase.


Definitions:

Ultrasound

A medical imaging technique that uses high-frequency sound waves to produce images of structures within the body, commonly used during pregnancy.

CT-Scan

A medical imaging technique using computer-processed combinations of X-ray measurements taken from different angles to create cross-sectional images of the body.

X-Ray Photography

A technique that uses X-rays to view the internal structure of objects, commonly used in medicine to observe bones and organs.

Rh Disease

A condition occurring in a fetus or newborn when there is an incompatibility between the Rh blood types of the mother and child, leading to anemia in the infant.

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