✔ 最佳答案
X~Poi(2).
問:
(a) P[X = 5]
(b) P[X ≧ 5]
(c) P[X > 5]
P[X = 5] = 2^5e^(-2)/5! = 32e^(-2)/120 = (4/15)e^(-2)
P[X ≧ 5] = 1- P[X ≦ 4]
= 1 - e^(-2){1+2+2^2/2+2^3/6+2^4/24}
= 1 - 7e^(-2)
P[X > 5] = P[X ≧ 5] - P[X = 5]
= 1 - 7e^(-2) - (4/15)e^(-2)
= 1 - (109/15)e^(-2)