Answer to Question #65898 in Statistics and Probability for Amanpour

Question

In a railway yard, goods trains arrive at the rate of 60 trans per day. Assuming that the inter-arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 72 minutes, calculate the following:

i) The average number of trains in the queue.
ii) The probability that the queue size is greater than or equal to 10.