GATE CE 2021 Set 1 — Question 47
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Engineering Mathematics → Probability → Poisson Distribution
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Question
Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval is __________
Correct answer
0.58 to 0.6
Solution
Given: Mean arrival rate vehicles/minute. Time interval minute.
The mean number of arrivals in 1 minute is .
The Poisson distribution is given by .
We need to find the probability that at least 2 vehicles arrive, .
.
Rounding off to two decimal places, the probability is 0.59.
The mean number of arrivals in 1 minute is .
The Poisson distribution is given by .
We need to find the probability that at least 2 vehicles arrive, .
.
Rounding off to two decimal places, the probability is 0.59.
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