Show transcribed image text Consider a post office that is run by two clerks 1 and 2. Customers arrive at times that follow exponential distribution with rate X-The amount of time ihai the clerks 1 and 2 scrve arxpotially dlistriluicd with oa I/A and 1/X2. The first customer that arrives in the post office is served by clerk 1 and the second by clerk 2. The three exponential random variables are independent. Two customers A and B have decided to go to the post office. What is the probability that A arrives before and departs after B?
Consider a post office that is run by two clerks 1 and 2. Customers arrive at times that follow exponential distribution with rate X-The amount of time ihai the clerks 1 and 2 scrve arxpotially dlistriluicd with oa I/A and 1/X2. The first customer that arrives in the post office is served by clerk 1 and the second by clerk 2. The three exponential random variables are independent. Two customers A and B have decided to go to the post office. What is the probability that A arrives before and departs after B?
