The average time between successive occurrences of earthquakes ?

Question

In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

Answer 1

$\begin{align*} 0.04 \times n &= 1\\ n &= \frac{1}{0.04}\\ &=25 \end{align*}$

answer = 25 years

Comments

can you please elaborate this answer.

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let there be $n$ number of earthquakes of characteristics given as per the question. It is also provided that the probability of each of which is 0.04. we know that the total probability = 1. which also equals 0.04$\times$n

Hence the equation 0.04$\times$n = 1

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But m you assumed number of earthquakes and question is asking average time between successive occurances?

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Yah in exponential distribution for successive occ mean = 1/lambda