The proportion of the times (in days) between major earthquakes in the north-south seismic belt of China

Question:

The proportion of the times (in days) between major earthquakes in the north-south seismic belt of China is a random variable that is exponentially distributed, with a = 1/609.5.

(a) Find the expected number of days and the standard deviation between major earthquakes for this region.
(b) Find the probability that the time between a major earthquake and the next one is more than 1 year.

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