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 12 arrivals?
A)0.0000
B)0.0661
C)0.7500
D)0.1322
E)None of the above

Question

Quizplus · Accepted Answer

The probability of exactly 12 arrivals in an hour can be calculated using the Poisson distribution formula:
P(X=12) = (e^-λ * λ^x) / x!
Where λ is the mean arrival rate (16) and x is the number of arrivals we are interested in (12).
P(X=12) = (e^-16 * 16^12) / 12! ≈ 0.0661
Therefore, the probability of exactly 12 arrivals in the next hour is 0.0661, which corresponds to choice B.

Arrivals at a Fast-Food Restaurant Follow a Poisson Distribution with a Mean