Suppose that pollen spores are randomly scattered in a home, at a density of $8$ sports per cubic cm. What is the probability of finding at least two spores in a space of $0.2$ cubic cm?
Here is how I approached it:
Let's call the number of spores per cm$^3$ $n$. Then we are given $\mu=8$. Finding $2$ spores in an area of 0.2 cm$^3$ is equivalent to finding 10 spores in an area of $1$ $cm^3.$ So we want to find $\Pr(n\geq10),$ or $1 - \Pr(n \leq 9)$.
I'm confused about what sort of distribution this would be. Poisson?
And am I expected to then compute that distribution's values for values $n=0, 1, ..., 9?$