Question 4 thank you

1/(2 + 2) for j = 0, 1, ...,i + 1. Find its stationary distribution. 4. (Problem 5.1.2 in Pinsky and Karlin) Suppose that minor defects are distributed over the length of a cable as a Poisson process with rate a, and that, independently, major defects are distributed over the cable according to a Poisson process of rate B. Let X(t) be the number of defects, either major or minor, the cable up to length t. Argue that X(t) must be a Poisson process of rate a + B. 5. (Problem 5.1.5 in Pinsky and Karlin) For each value of h > 0. let X(h) have a Poisson distribution with