A manufacturing process produces circuit boards that sometime have imperfections. The average number of imperfections are $0.67$ per circuit board. Suppose a batch containing $5$ circuit boards is sent to a quality control team for inspection. What is the probability that the team finds between $2$ and $6$ imperfections in total?
I'm not too sure whether this should be interpreted as $P(X)$ over $(2,6)$ or $[2,6]$.