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Find the probability that, during a randomly selected 1-minute morning period, the total number of passengers arriving at the four entrances to the bus station is greater than $3$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
The bus station has four entrances exactly. In the morning, the passenger counts arriving at these entrances in a 10-second interval follow the independent distributions $\text{Po}(0.4)$, $\text{Po}(0.1)$, $\text{Po}(0.2)$ and $\text{Po}(0.5)$.