Determine the probability


At t bus station, blue line shuttles and yellow line shuttles arrive independently, both according to Poisson process. On average, there is one blue line shuttle every 10 minutes as well as one yellow shuttle every five minutes. Assume you're very bored, so you like to observe shuttles at bus station. Determine the probability that exactly 3 blue line shuttles will arrive in the first 25 minutes and exactly 4 yellow line shuttles will arrive in the first 35 minutes?

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Basic Statistics: Determine the probability
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