The time interval (X) between successive earthquakes of a certain magnitude has an exponential distribution with density

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The time interval (X) between successive earthquakes of a certain magnitude has an exponential distribution with density function given by

fx(x) = 90 --x/0 0 if x > 0 if x < 0

where x is measured in days. Find the probability that such an interval will not exceed 30 days.

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