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Suppose that one customer is waiting for the first available of twolambda _{S}=3/hr ??S ??=3/hr-slot machines, additional customers arrive at ratelambda _{A}=4/hr ??A ??=4/hr, and
Suppose that one customer is waiting for the first available of two\lambda _{S}=3/hr
??S
??=3/hr-slot machines, additional customers arrive at rate\lambda _{A}=4/hr
??A
??=4/hr, and the customers form one line for the two machines.
A)What is the probability that three or more customers arrive and none depart in the first 1/2 hour of operation?
B)What is the distribution for the number of customers in the queue in steady state? Calculate the values for the first four states.
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