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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.

Numeric Input

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Suppose that one customer is waiting for the first available of two As = 3/hr-slot machines, additional customers arrive at rate JA = 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? Numeric Input Palette History Help Enter Answer Here Preview P(3 or more arrive and none depar Answer Preview ] Check Answer b) What is the distribution for the number of customers in the queue in steady state? Calculate the values for the first four states. Numeric Input Palette History Help Enter Answer Here Preview 7 (0) =[ Answer Preview ] Check Answer Numeric Input Palette History Help Enter Answer Here Preview 7 (1) =[ Answer Preview ] Check

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