Question

# the average number of patients arriving at the emergency room is 10 per hour, what probability...

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

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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