Question

Question 18 1 pts Delaware has three counties: Kent, New Castle, and Sussex. Let X, be the number of years until a flood hits Kent County, X, be the number of years until a flood hits New Castle County, and X, be the number of years until a flood hits Sussex County. Assume X,. Xp, and X, are independent and that they are exponentially distributed with the following arrival rates per year: County 1. Kent 0.4 2. New Castle 1.2 3. Sussex 0.8 What is the probability that the first flood to arrive in Delaware will be in Sussex County? If necessary, round your answer to four decimal places.

Answer 1

first flood to arrive to be sussex

=

Дк + Av t As

=   0.8/(0.4 + 1.2 + 0.8)
= 0.3333