Business, 29.06.2019 18:50 aniah05

The security & trust bank employs 1 teller to serve its customers. customers asking for a deposit arrive according to a poisson process at a mean rate of 10 per hour, whereas customers asking for a withdrawal request arrive according to a poisson process at a mean rate of 15 per hour. the customers are served in first-come first-served basis. the transaction time between the teller and customer has an exponential distribution with a mean of 1.5 minutes, regardless of the type of service requested. suppose that a customer with a deposit request has just arrived at 1: 00 pm. a. (1.5 points) what is the probability that the next customer will arrive between 1: 05 and 1: 10? b. (1.5 points) what is the probability that the next customer will request a deposit service?

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