Question

supposed major earthquakes in a certian region occur independently of one another at the rate of one every ten years. Find the probability that the next major earth qauke will occur bbetween 7 an 12 years from now

Answer 1

The probability is 0.05

Explanation:

Since the event of a major earthquake is independent of other major earthquakes, the problem is quite simple. We know that the probability an event like this occurs every ten years is 0.1.

Using this, we can calculate the probability of it happening any one year to be
`0.1*(1)/(10)` = 0.01

We can multiply this probability by the number of years.

Total number of years: 12 - 7 = 5

Probability the earthquake happens in these 5 years :

`5 * 0.01` = 0.05