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Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16...

Question

Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16...

Arrivals at a fast-food restaurant follow a Poisson distribution with a mean arrival rate of 16 customers per hour. What is the probability that in the next hour there will be exactly 8 arrivals?

Answers

Poisson distribution formula P(X = x) = (λ)x​​​​ * e​​​​ / x!

λ = Arrival rate = 16

X = Occurance = 8

P(X = 8) = (16)8​​​​​​ * e-16 / 8! = 0.0120

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