Delaware has three counties: Kent, New Castle, and Sussex. Let X1 be the number of years until a flood hits Kent County, X2 be the number of years until a flood hits New Castle County, and X3 be the number of years until a flood hits Sussex County. Assume X1, X2, and X3 are independent and that they are exponentially distributed with the following arrival rates per year: County
1. Kent 0.8
2. New Castle 1.2
3. Sussex 0.7
What is the probability that the first flood to arrive in Delaware will be in Sussex County?
Determine whether each distribution below is discrete or continuous:
Normal
Exponential
Uniform
Binomial
Student-t
F
Poisson
Let X be exponentially distributed with an arrival rate of 0.5. What is P(X<2)?