Anybody can solve this question that will help me a lot.

Losses due to earthquakes in a specific region are distributed uniformly in ($1MM, $5MM) and also number of earthquakes is distributed Poisson with a constant but unknown parameter. For 60 years 12 earthquakes have been observed whose losses are higher than 3MM. Find the expected time between two consecutive eartquakes which cause damage higher than 4MM ?


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