GATE 2022 PI – Question 33

Operations Research and Operations Management · Operations Research · 1 mark · Numerical answer

Bank interarrival times are exponential, with eight arrivals per hour. Find the probability of no arrival during 15 minutes, to two decimals.

Show answer and explanation

Correct answer: 0.12 to 0.15

Explanation

Poisson mean over a quarter-hour is λt = 8/4 = 2. Hence $P(N=0)=e^{-2}=0.135335$, rounding to **0.14**.

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