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in Probability Distributions by (48.4k points)
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Vehicles pass through a junction on a busy road at an average rate of 300 per hour. 

(а) Find the probability that none passes in a given minute. 

(b) What is the expected number passing in two minutes?

1 Answer

+3 votes
by (48.0k points)
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Best answer

Let X be the Poisson random variable. It is given that mean 

λ = 300/hour = 300/60 minutes = 5 per minute. 

(a) The Poisson law giving x vehicles passing on a road in one minute is given by

(b) E(X) = λ (i.e) No of vehicles passing per minute, since λ = 5, the expected number passing in two minutes is 10.

by (10 points)
Answer for b
by (39.5k points)
(b) Expected number each 2 minutes =E(X)=5×2=10

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