Question

Mauna Loa is one of the most active volcanoes in the world. From 1832 to 1950, the Hawaiian landmark erupted 37 times. What probability distribution will be used to estimate the chance that the next two Mauna Loa eruptions will occur within five months of one another

Answer 1

`E \approx \exp(0.31)`

Explanation:

From the question we are told that

Occurrence of volcanoes
`x=37 times`

The number year

`N= 1832-1950\\N=118 years`

Generally the number of volcanoes occurring is mathematically modeled as

`X \approx Poisson(0.31)`

Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters

`E \approx \exp(0.31)`