Suppose that the number of airplanes arriving at an airport per minute is a Poisson process. The average number of airplanes arriving per minute is 3. The probability that exactly 6 planes arrive in the next minute is 0.0504.

Question

Quizplus · Accepted Answer

The probability of exactly k arrivals in a Poisson process with rate lambda per unit time is given by the Poisson distribution:P(k arrivals) = (e^-lambda * lambda^k) / k!In this case, lambda = 3 and k = 6. Plugging these values into the formula, we get:P(6 arrivals) = (e^-3 * 3^6) / 6! = 0.0504Therefore, the probability of exactly 6 planes arriving in the next minute is 0.0504, which is the same as the given value.

Suppose That the Number of Airplanes Arriving at an Airport