At least two in the window

EasyProbability Stochastic Processes~3m

Buses arrive as a Poisson process at rate $\lambda = 3$ per hour. What is the probability that at least two buses arrive in a $40$ -minute window? (to 3 decimals)

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Convert the window to hours and find the mean count $\lambda t$ .
"At least two" has no single term: use $1 - P(0) - P(1)$ .

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0.594 (± 0.005)

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude

At least two in the window

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