統計學的卜瓦松分配怎麼求?

2020-11-14 2:59 pm
(a)本來套了公式後求得0.204,但是答案是 
          0.206(b)最多兩個那X要代什麼
(c)多餘兩個那X要代什麼

回答 (1)

2020-11-14 4:44 pm
✔ 最佳答案
X ~Poi(μ), μ = 3.24
(a) 求 P[X = 2]
(b) 求 P[X ≦ 2]
(c) 求 P[X > 2]

P[X = 2] = μ^2 e^(-μ)/2!
    = 3.24^2 e^(-3.24)/2 = 0.20556 ≒ 0.206

P[X ≦ 2] = P[X = 0] + P[X = 1] + P[X = 2]
    = e^(-3.24) + 3.24 e^(-3.24) + 0.206
    = 0.372

P[X > 2] = 1 - P[X ≦ 2]
    = 1 - 0.372 = 0.628


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