There are further generalizations. The definition above is the homogeneous Poisson process because the average density of points does not vary in space. Inhomogeneous Poisson processes can be defined by replacing the intensity con-stant with an intensity function Mx). These models are part of the subject of stochastic processes.
Exercises

We start with some warm-up exercises arranged by section.
Section 4.1
n a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each of the following assumptions. You do not have to use the continuity correction. (a) Months are equally likely to contain birthdays. (b) Days are equally likely to be birthdays. r.e-.Feise—t. The probability of getting a single pair in a poker hand of 5 cards is approximately 0.42. Find the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair. Exercise 4.3. Approximate the probability that out of 300 die rolls we get exactly 100 numbers that are multiples of 3.

172 Approximations of the binomial distribution