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An economist has observed that the time between recessions has an exponential distribution with mean 100 months. Find the probability that the time between recessions

An economist has observed that the time between recessions has an exponential distribution with mean 100 months.

Find the probability that the time between recessions will be located in the interval (50, 200) months given that it exceeds 100 months.

(Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.

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