Ann is the first in line for a service. There are three service counters (which are busy),

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Ann is the first in line for a service. There are three service counters (which are busy), the service times are independent and have the same exponential distribution. Find the probabilities that Ann will be served after

(a) All three customers who were being served when Ann took her place in line,

(b) The customer at the first counter.

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