Question

Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6^th and 7^th earthquakes? Answer to the nearest integer.

Answer 1

SOLUTION:

From given data,

Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6^th and 7^th earthquakes

a constant rate of 0.05 earthquakes per day

On average how long will it be (in days) between the 6^th and 7^th earthquakes

average number of days between 6^th and 7^th earthquake is

1/0.05 = 20 days