Potential customers arrive at a small machine maintenance facility according to a Poisson process with rate of 2 customers per hour. The facility has a capacity to hold four machines at any one time and two machine operators who service the machines. The service times for each operator is exponentially distributed with rates 2 machines per hour.   Assuming that the system is in steady state;   (i)What is the probability that both operators are idle?( round off answer to two decimal points)

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