please be a good person and actually answer the question instead of copying another person's answer and posting the wrong answers. The Letters are I J K.

Suppose there are two tellers taking customers in a bank. Service times at a teller are independent, exponentially distributed random variables, but the first teller has a mean service time of 2 minutes while the second teller has a mean of 5 minutes. There is a single queue for customers awaiting service. Suppose at noon, 3 customers enter the system. Customer A goes to the first teller, B to the second teller, and C queues. To standardize the answers, let us assume that TA is the length of time in minutes starting from noon until Customer A departs, and similarly define TB and Tc. (i) What is the probability that Cleaves before A given that B leaves before A? () What are the probabilities that A leaves last, B leaves last, and C leaves last? (k) Suppose D enters the system at 12:10 and A, B, and C are still there. Let Wp be the time that D spends in the system. What is the mean time that D is in the system? Suppose there are two tellers taking customers in a bank. Service times at a teller are independent, exponentially distributed random variables, but the first teller has a mean service time of 2 minutes while the second teller has a mean of 5 minutes. There is a single queue for customers awaiting service. Suppose at noon, 3 customers enter the system. Customer A goes to the first teller, B to the second teller, and C queues. To standardize the answers, let us assume that TA is the length of time in minutes starting from noon until Customer A departs, and similarly define TB and Tc. (i) What is the probability that Cleaves before A given that B leaves before A? () What are the probabilities that A leaves last, B leaves last, and C leaves last? (k) Suppose D enters the system at 12:10 and A, B, and C are still there. Let Wp be the time that D spends in the system. What is the mean time that D is in the system