(Answered) Random variable with an exponential distribution

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An immigration agent at Ataturk airport in Istanbul, Turkey on the average could process 120 entrants during an 8 hour shift, if she was busy all the time. The number of arrivals is based on a Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at her station once every 6 minutes. Determine the probability that more than 3 people will be in line.

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