1. There are two types of claims that are made to an insurance company. Let Nz-(t) denote the number of type 3' claims made by time t, and suppose that {N1(t),t 2 0} and {N2(t),t 2 0} are independent Poisson processes with rates A1 = 5 and A2 = 3. The amounts of successive type 1 claims are independent exponential random variables with mean $1,000 whereas the amounts from type 2 claims are independent exponential random variables with mean $5,000. A claim has just arrived. What is the probability it is for greater than $3,000