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--- b:head_first_statistics:geometric_binomial_and_poisson_distributions [2019/11/07 09:01] – [What does the Poisson distribution look like?] hkimscil
+++ b:head_first_statistics:geometric_binomial_and_poisson_distributions [2019/11/07 10:26] – [What does the Poisson distribution look like?] hkimscil
@@ Line 935: / Line 935: @@
 마포 신한은행 지점에 시간당 은행에 방문하는 손님의 숫자: lambda = 30
-<code>> dpois(x=1:60, lambda=30)
+<code>
- [1] 2.807287e-12 4.210930e-11 4.210930e-10 3.158198e-09
+> dpois(x=1:60, lambda=30)
- [5] 1.894919e-08 9.474593e-08 4.060540e-07 1.522702e-06
+ [1] 2.807287e-12 4.210930e-11 4.210930e-10 3.158198e-09 1.894919e-08
- [9] 5.075675e-06 1.522702e-05 4.152825e-05 1.038206e-04
+ [6] 9.474593e-08 4.060540e-07 1.522702e-06 5.075675e-06 1.522702e-05
-[13] 2.395861e-04 5.133987e-04 1.026797e-03 1.925245e-03
+[11] 4.152825e-05 1.038206e-04 2.395861e-04 5.133987e-04 1.026797e-03
-[17] 3.397491e-03 5.662486e-03 8.940767e-03 1.341115e-02
+[16] 1.925245e-03 3.397491e-03 5.662486e-03 8.940767e-03 1.341115e-02
-[21] 1.915879e-02 2.612562e-02 3.407689e-02 4.259611e-02
+[21] 1.915879e-02 2.612562e-02 3.407689e-02 4.259611e-02 5.111534e-02
-[25] 5.111534e-02 5.897924e-02 6.553248e-02 7.021338e-02
+[26] 5.897924e-02 6.553248e-02 7.021338e-02 7.263453e-02 7.263453e-02
-[29] 7.263453e-02 7.263453e-02 7.029148e-02 6.589826e-02
+[31] 7.029148e-02 6.589826e-02 5.990751e-02 5.285957e-02 4.530820e-02
-[33] 5.990751e-02 5.285957e-02 4.530820e-02 3.775683e-02
+[36] 3.775683e-02 3.061365e-02 2.416867e-02 1.859128e-02 1.394346e-02
-[37] 3.061365e-02 2.416867e-02 1.859128e-02 1.394346e-02
+[41] 1.020253e-02 7.287524e-03 5.084319e-03 3.466581e-03 2.311054e-03
-[41] 1.020253e-02 7.287524e-03 5.084319e-03 3.466581e-03
+[46] 1.507209e-03 9.620485e-04 6.012803e-04 3.681308e-04 2.208785e-04
-[45] 2.311054e-03 1.507209e-03 9.620485e-04 6.012803e-04
+[51] 1.299285e-04 7.495876e-05 4.242949e-05 2.357194e-05 1.285742e-05
-[49] 3.681308e-04 2.208785e-04 1.299285e-04 7.495876e-05
+[56] 6.887904e-06 3.625212e-06 1.875110e-06 9.534457e-07 4.767229e-07
-[53] 4.242949e-05 2.357194e-05 1.285742e-05 6.887904e-06
-[57] 3.625212e-06 1.875110e-06 9.534457e-07 4.767229e-07
 > plot(dpois(x=1:60, lambda=30), type = "l")
 > </code>
-[{{:b:head_first_statistics:pasted:20191107-082959.png|Figure 1. lambda=30}}]
+[{{:b:head_first_statistics:pasted:20191107-095627.png|Figure 1. lambda=30}}]
 lambda가 클 수록 좌우대칭의 종형분포를 이루고 ((Figure 1)), 작을 수로 오른 쪽으로 편향된 (skewed to the right) 혹은 양의방향으로 편향된(positively skewed) 분포를 ((Figure 2)) 이룬다.
-<code>> dpois(x=1:60, lambda=3)
+<code>
- [1] 1.493612e-01 2.240418e-01 2.240418e-01 1.680314e-01
+> dpois(x=1:60, lambda=.3)
- [5] 1.008188e-01 5.040941e-02 2.160403e-02 8.101512e-03
+ [1]  2.222455e-01  3.333682e-02  3.333682e-03  2.500261e-04  1.500157e-05
- [9] 2.700504e-03 8.101512e-04 2.209503e-04 5.523758e-05
+ [6]  7.500784e-07  3.214622e-08  1.205483e-09  4.018277e-11  1.205483e-12
-[13] 1.274713e-05 2.731529e-06 5.463057e-07 1.024323e-07
+[11]  3.287682e-14  8.219204e-16  1.896739e-17  4.064441e-19  8.128883e-21
-[17] 1.807629e-08 3.012715e-09 4.756919e-10 7.135379e-11
+[16]  1.524166e-22  2.689704e-24  4.482840e-26  7.078168e-28  1.061725e-29
-[21] 1.019340e-11 1.390009e-12 1.813055e-13 2.266319e-14
+[21]  1.516750e-31  2.068296e-33  2.697777e-35  3.372222e-37  4.046666e-39
-[25] 2.719583e-15 3.137980e-16 3.486644e-17 3.735690e-18
+[26]  4.669230e-41  5.188033e-43  5.558607e-45  5.750283e-47  5.750283e-49
-[29] 3.864507e-19 3.864507e-20 3.739846e-21 3.506105e-22
+[31]  5.564790e-51  5.216991e-53  4.742719e-55  4.184752e-57  3.586930e-59
-[33] 3.187368e-23 2.812384e-24 2.410615e-25 2.008846e-26
+[36]  2.989108e-61  2.423601e-63  1.913370e-65  1.471823e-67  1.103867e-69
-[37] 1.628794e-27 1.285890e-28 9.891460e-30 7.418595e-31
+[41]  8.077076e-72  5.769340e-74  4.025121e-76  2.744401e-78  1.829600e-80
-[41] 5.428240e-32 3.877315e-33 2.705103e-34 1.844389e-35
+[46]  1.193218e-82  7.616283e-85  4.760177e-87  2.914394e-89  1.748636e-91
-[45] 1.229592e-36 8.019081e-38 5.118562e-39 3.199101e-40
+[51]  1.028610e-93  5.934286e-96  3.359030e-98 1.866128e-100 1.017888e-102
-[49] 1.958633e-41 1.175180e-42 6.912824e-44 3.988168e-45
+[56] 5.452971e-105 2.869985e-107 1.484475e-109 7.548177e-112 3.774089e-114
-[53] 2.257453e-46 1.254141e-47 6.840768e-49 3.664697e-50
+> plot(dpois(x=1:60, lambda=.3), type = "l")
-[57] 1.928788e-51 9.976489e-53 5.072791e-54 2.536396e-55
-> plot(dpois(x=1:60, lambda=3), type = "l")
 > </code>
-[{{:b:head_first_statistics:pasted:20191107-082917.png|Figure 2. lambda = 3}}]
+[{{:b:head_first_statistics:pasted:20191107-095447.png|Figure 2. lambda = 3}}]
 일반적으로 lambda가 1보다 작으면 geometric distribution 형태의 그래프를, 1보다 크면 정규분포 형태의 모양을 갖는다.