Question

The complexity of aircraft arrivals and departures at an airport is such that computer simulation is often used to model "ideal" conditions. For a specific airport that has three runways, it is known that, in the ideal scenario, the probabilities that the individual runways will be used by a randomly arriving commercial aircraft are as follows:

Hint 1: 0.28

Hint 2: 0.17

Hint 3: the rest of the time

What is the probability that 9 randomly arriving aircraft will land 3 on each of the runways?

Answer with 4 decimals.

Answer 1

solution : X; ~ Multimonial theorem X P(X1, X2,83) P, P2 P3 X!.X2! X3 X2 X3 so, Pleach lands 3 times) 3 3 9! X (0.28) 10:17) (0.55) (31) * (31)*(31) 0.0301