26. In a bank, cheques are eashed at a single teller counter Customers arrive at the counter in a Poisson manner at an average rate of 30 customers per hour. The teller taken on an average i minute to canh a cheque. The service time is exponentially distributed (a) calculate the percentage of time the teller is busy () calculate the average time a customer is expected to wait. Chema UBBA. Nov, 20701 ins. (a) 75 (1) 6 minutes) 27. Customers arrive at one-window drive according to a Poisson distribution with mean of 10 minutes Service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced one. Other Vehicles have to wait outside this space. Calculate the (6) probability that an arriving customer can drive directly to the space in front of the window (5) probability that an arriving customer will have to wait outside the directed space IPTU B Tech Dec, 2011. UPU MBA, 2009, s7 PU.Broch (Mech 2009 Am. (a) 0.784 (6) 02161 28. Data have been accumulated at a banking facility regarding the waiting time for delivery trucks to be loaded. The data show that the average arrival rate for the trucks at the loading dock is 2 hour. The average time to load a truck, using 2 loaders in 10 minutes so that the service rate is 3 trucks per hour The management is considering hiring another loader at 5 per hour to reduce the loading time. Drivers are paid 4 per hour and truck utilisation is valued at 3 per hour. Should the additional leader be hired if an increase in the service rate to 4 trucks per hour would result? IPTUB Tech (Mech) Dec, 2017 Ans 2 hour saving with new loader)