Question
The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is _______ (correct to two decimal places).
Answer :
0.38
Given, arrival rate, λ= 30/hour
λ= 1/2 min
P = prob. = 1-e-λt
P(1)= 1-e(-1/2)*1 = 0.393
P(3)= 1-e(-1/2)*3 = 1-e-1.5= 0.7768
P(1 < T< 3 min) = 0.7768 — 0.393 = 0.383
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