Question

the average number of patients arriving at the emergency room is 10 per hour, what probability distribution should be used in order to find the probability that at least 8 patient will arrive within the next hour

a-binomial

b-poisson

c-multinomial

d-uniform

e-geometric

Answer #1

**Ans : Poisson Distribution**

The **Poisson distribution** is the discrete
probability **distribution** of the number of events
occurring in a given time period, given the average number of times
the event occurs over that time period.

For the Given problem,

Event is the patient arriving at the emergency room.

the average number of times the event occurs over that time period: average number of patients arriving at the emergency room is 10 per hour

the number of events occurring in a given time period - Number of patient will arrive within the next hour

Hence

Probability distribution should be used in order to find the probability that at least 8 patient will arrive within the next hour

is Poisson distribution

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