Earthquake Average Time Calculation
The problem asks for the average time between successive earthquakes greater than Magnitude 6 in the Garhwal Himalayas, given the annual probability.
Given Probability
- Probability ($P$) of an earthquake > Magnitude 6 occurring in a year = 0.04
Calculating Average Time Between Events
For events that occur randomly over time at a constant average rate (like earthquakes in this model), the average time between successive events is the reciprocal of the probability (or rate) per unit time.
The formula is:
Average Time = $ \frac{1}{P} $
Calculation
Substitute the given probability into the formula:
Average Time = $ \frac{1}{0.04} $
Average Time = $ \frac{1}{\frac{4}{100}} $
Average Time = $ \frac{100}{4} $
Average Time = 25 years
Conclusion
The average time between successive occurrences of earthquakes greater than Magnitude 6 in the Garhwal Himalayas is 25 years.
Important Questions from Probability
The probability of being 53 Sundays in year 2020 is-
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