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7. The number of storm arriving during 100 years at a given site follows a Poisson distribution with mean rate = 5. Also, the

 

7. The number of storm arriving during 100 years at a given site follows a Poisson distribution with mean rate = 5. Also, the water heights reached during different storms are independent with common exponential distributions: h F(h) = 1 e where water height h is in meters Find the probability that the water height exceeds 3 meters at least once during the next 100 years.

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