In a railway yard, goods trains arrive at a rate of 30 trains per day. Assume that the inter-arrival time follows an exponential distribution and the service distribution is also an exponential with an average of 36 minutes. The probability that the size of the queue exceeds 10 is
A. 0.944
B. 0.750
C. 0.250
D. 0.056
Answer:D
In a railway yard, goods trains arrive at a rate of 30 trains per day. Assume that the inter-arrival time follows an exponential distribution and the service distribution is also an exponential with an average of 36 minutes. The probability that the size of the queue exceeds 10 is
A. 0.944 B. 0.750 C. 0.250 D. 0.056