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Question
Vehicles pass through a junction on a busy road at an average rate of 300 per hour. Find the probability that none passes in a given minute
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Solution
In a poisson distribution
Average per hour = 300 vehicles
Mean per minute = `300/60` = 5
∴ λ = 5
P(X = x) = `("e"^(-lambda)lambda^x)/(x!)`
P(X = x) = `("e"^-5(5)^0)/(0!)`
= `("e"^-5(1))/1`
= `"e"^-5`
= 0.0067379
= `6.7379 xx 10^3`
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