33 died overa 10-year period from COPD, whereas only 24 such deaths could be expected based onstatewide mortality rates. I came up with ppois(q = 33, lambda = 24, lower.tail = FALSE), but it seems it is ppois(q = 32, lambda = 24, lower.tail = FALSE). I am confused with the q value. Why is it 32 instead 33? thx much